Question
The equation among the following that have no solution is
- “Five times a number is same as two times a number”
“Seven added to half a number is same as twice the quarter of a number”
“Forty added to forty times a number is zero”
“One fifth of a number is added to seven third is equal to five times the number”
“Seven added to half a number is same as twice the quarter of a number”
“Forty added to forty times a number is zero”
“One fifth of a number is added to seven third is equal to five times the number”
Hint:
An equation has a constant, variable and an equal to sign. It has two sides LHS and RHS. A linear equation in one variable is equation with only one variable and in which the highest degree is 1. Here, we have to find equation with no solution by operating both sides with the same number so that the equation will be balanced.
The correct answer is: “Seven added to half a number is same as twice the quarter of a number”
In the question we have to find the equation having no solution.
Step 1: Convert the word problems into numerical equations.
In option a the equation will be 5x=2x.
In option b the equation will be 
In option c the equation will be 40+40x=0.
In option d the equation will be 
So, the equation having no solution is 
.
Therefore, the correct option is b.
A linear equation in one variable is equation with only one variable and in which the highest degree is one. A linear equation in one variable will have no solution only if the variable term on both the sides are same and on operating got cancelled leaving behind the constant terms.
Related Questions to study
The solution of the equation “Quarter of a number when added to 5 is same as twice the number added to 1”
Quarter is the one forth or 
of a given quantity or number
The solution of the equation “Quarter of a number when added to 5 is same as twice the number added to 1”
Quarter is the one forth or of a given quantity or number
If quarter of the number is same as the five added to the number, then the number is
Quarter is the one forth or of a given quantity or number.
If quarter of the number is same as the five added to the number, then the number is
Quarter is the one forth or of a given quantity or number.
The equation that has no solution among the following is
A linear equation in one variable is equation with only one variable and in which the highest degree is one. A linear equation in one variable will have no solution only if the variable term on both the sides are same and on operating got cancelled leaving behind the constant terms.
The equation that has no solution among the following is
A linear equation in one variable is equation with only one variable and in which the highest degree is one. A linear equation in one variable will have no solution only if the variable term on both the sides are same and on operating got cancelled leaving behind the constant terms.
The teacher asks the students to give an equation. The equations are as follows
Robert: 2 times a number is 2 greater than the number
Bob: 3 times a number is 3 is greater than the number
Col: 4 added to a number is the same as 5 added to a number
Sam: 4 times a number is the same as 5 times a number
The student who gave an equation that has 0 as the solution is
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation has no solution if it has same terms on both sides of the equation. Like terms in an equation are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
The teacher asks the students to give an equation. The equations are as follows
Robert: 2 times a number is 2 greater than the number
Bob: 3 times a number is 3 is greater than the number
Col: 4 added to a number is the same as 5 added to a number
Sam: 4 times a number is the same as 5 times a number
The student who gave an equation that has 0 as the solution is
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation has no solution if it has same terms on both sides of the equation. Like terms in an equation are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
In a race, rabbit jumps 2 feet distance for every jump. The distance between point A to B is 160 feet. The rabbit initially started from the midway of A to B. The total number of jumps does the rabbit need to make to reach to point B is
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
In a race, rabbit jumps 2 feet distance for every jump. The distance between point A to B is 160 feet. The rabbit initially started from the midway of A to B. The total number of jumps does the rabbit need to make to reach to point B is
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
Teacher asked students the number of solutions of 25(x + 1) = 5(5x + 2) +15, the answers the students responded are
Katty: The solution is x = 2
Katherine: The equation has no solution
Steve: The equation has infinitely many solutions
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
Teacher asked students the number of solutions of 25(x + 1) = 5(5x + 2) +15, the answers the students responded are
Katty: The solution is x = 2
Katherine: The equation has no solution
Steve: The equation has infinitely many solutions
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
A transport company charges $10 for the deal and 25 cents for every one kg of apples. The total transport company charged David is $100. The total weight he transported is
Dollar is the official currency of America. It is represented by $ or US$ (more specific). One dollar is made up of 100 cents. Dollar is used or accepted in many countries.
A transport company charges $10 for the deal and 25 cents for every one kg of apples. The total transport company charged David is $100. The total weight he transported is
Dollar is the official currency of America. It is represented by $ or US$ (more specific). One dollar is made up of 100 cents. Dollar is used or accepted in many countries.
Justin proposed an offer of chocolate to whoever guesses the number he chose correctly. He gives them a clue:” Five times the number is 5 more than the number.” The number Justin chose is
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
Justin proposed an offer of chocolate to whoever guesses the number he chose correctly. He gives them a clue:” Five times the number is 5 more than the number.” The number Justin chose is
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
The solution of the equation 2x + 7 = 2(x + 3) + 1
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
The solution of the equation 2x + 7 = 2(x + 3) + 1
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
The teacher asked the student to give a statement for the linear equation, the response she got is “ twice of five times a number is added with 3 is same as ten times a number being added to 6.” The number for the above statement is
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
The teacher asked the student to give a statement for the linear equation, the response she got is “ twice of five times a number is added with 3 is same as ten times a number being added to 6.” The number for the above statement is
The linear equations with one variable are an equation which has only one variable and the highest power of the variable should be one. The linear equations in one variable having infinitely many solutions if it has same variable and constant terms on both the sides of the equation. On solving the equation, they will get cancelled and will give 0=0 as result.
A taxi company charges $2 for booking and charges $0.2 separately for every mile. The total amount Wade paid to the taxi company is $12. The distance he travelled in the cab is
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
A taxi company charges $2 for booking and charges $0.2 separately for every mile. The total amount Wade paid to the taxi company is $12. The distance he travelled in the cab is
Like terms are the terms having same variable of same power in which the coefficient may not be the same whereas unlike terms are the terms which don't have same variable. Addition and subtraction are possible in like terms but not in unlike terms.
The number of balloons in the packet are 25, George has some packets to decorate the stage. Of all 33 balloons have burst and were useless. The total balloons used for decoration were 117. The number of packets does George used in total are
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
The number of balloons in the packet are 25, George has some packets to decorate the stage. Of all 33 balloons have burst and were useless. The total balloons used for decoration were 117. The number of packets does George used in total are
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
Sophia bought a new bike that has a mileage of 50 kmpl. The bike mileage goes down 5 km every year except the first year. The bike was bought 3 years ago. The mileage of the bike would be (in kmpl)
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
Sophia bought a new bike that has a mileage of 50 kmpl. The bike mileage goes down 5 km every year except the first year. The bike was bought 3 years ago. The mileage of the bike would be (in kmpl)
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
A farm contains 200 trees, and each tree contains 10 fruits over it. The total fruits in 5 farms, if one of five farms have 10 more trees than they should have is
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
A farm contains 200 trees, and each tree contains 10 fruits over it. The total fruits in 5 farms, if one of five farms have 10 more trees than they should have is
A linear equation in one variable is equation with only one variable and in which the highest degree is 1. A linear equation in one variable can be solved by placing the unknown values on one side and known values on another side of the equation. it is important to operate equal terms on both sides so that the equation will remain balanced.
Teacher asks her students the solution of 5x + 3 = 0.5(10x + 4)
Adam: The solution of the equation is 0.35
Steve: The solution of the equation is 5.3
Tony: The equation has no solution
Mary: The equation has infinitely many solutions
Among the four students, the one that gave the correct answer is
A linear equation in one variable is equation with only one variable and in which the highest degree is one. A linear equation in one variable will have no solution only if the variable term on both the sides are same and on operating got cancelled leaving behind the constant terms.
Teacher asks her students the solution of 5x + 3 = 0.5(10x + 4)
Adam: The solution of the equation is 0.35
Steve: The solution of the equation is 5.3
Tony: The equation has no solution
Mary: The equation has infinitely many solutions
Among the four students, the one that gave the correct answer is
A linear equation in one variable is equation with only one variable and in which the highest degree is one. A linear equation in one variable will have no solution only if the variable term on both the sides are same and on operating got cancelled leaving behind the constant terms.
