Question
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
- for any number the equation satisfies
- for any number the equation dissatisfies
- the number is 4
- the number is 6
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 the value of unknown value, by operating both sides with the same number so that the equation will be balanced.
The correct answer is: for any number the equation satisfies
In the question it is given that twice of five times a number is added with 3 is same as ten times a number being added to 6.
We have to find the number.
Step 1: Convert the given word problem into numerical equation.
Let the unknown number be x.
So, the equation will be
2(5x+3)= 10x+6
Step 2: Solve the bracket on LHS side.
10x+6= 10x+6
Here, the variable and constant terms are same on both sides, which on solving will give 0=0. So, this equation has infinitely many solutions.
Therefore, the correct option is a, i.e., for any number the equation satisfies.
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.
Related Questions to study
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.
If Mark says, “three time a number is added to 5 to get half the value of six times of the number added to ten”, then the number can be
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.
If Mark says, “three time a number is added to 5 to get half the value of six times of the number added to ten”, then the number can be
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 Myrtles Plantation charges its customers $10 for booking a room, for every hour they charge $2. If Jordan stays there from 18:00 to 12:00 of the next day, then the amount he must pay is (in $)
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 Myrtles Plantation charges its customers $10 for booking a room, for every hour they charge $2. If Jordan stays there from 18:00 to 12:00 of the next day, then the amount he must pay is (in $)
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.
Sarah says, “I chose a number that is 17 more than 10 times of 3”. The number Sarah chose 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.
Sarah says, “I chose a number that is 17 more than 10 times of 3”. The number Sarah chose 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.
Number of solutions for 
is
Standard form of linear equation in one variable is ax+b=0. If x=
, then the solutions will be one. If both sides of the equation have same variable and constants then the equation has infinitely many solution.
Number of solutions for is
Standard form of linear equation in one variable is ax+b=0. If x=, then the solutions will be one. If both sides of the equation have same variable and constants then the equation has infinitely many solution.
In a Halloween, if each house visited gives you 5 chocolates, initially you started with 10 chocolates by the end you have 150 chocolates, then the number of houses visited are
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.
In a Halloween, if each house visited gives you 5 chocolates, initially you started with 10 chocolates by the end you have 150 chocolates, then the number of houses visited are
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.
If five being added to twice a number and two being added to five times a number is same, then the number 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.
If five being added to twice a number and two being added to five times a number is same, then the number 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.
Mary bought some apples from the store, she gave half of the apples she bought to Adam, the 5 from the remaining to his brother. The apples she left with are 3. The number of apples she gave to Adam are
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.
Mary bought some apples from the store, she gave half of the apples she bought to Adam, the 5 from the remaining to his brother. The apples she left with are 3. The number of apples she gave to Adam are
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 120x + 60 = 30(4x + 2) 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 have 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 120x + 60 = 30(4x + 2) 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 have 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.
John says, “two times a number is subtracted from five results three”, the solution of the John equation 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.
John says, “two times a number is subtracted from five results three”, the solution of the John equation 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 equation among the following that have infinitely many solutions is
The linear equations with one variable is 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 have 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 equation among the following that have infinitely many solutions is
The linear equations with one variable is 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 have 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.
