Question
The equation that has no solution among the following is
- Four added to five times a number is four
- Five times a number added to one is five added to five times a number
- Five added to six times a number is five times a number
- Five times a number added to 2 is same as 2 added to five times a 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 the equation having no solution, by operating both sides with the same number so that the equation will be balanced.
The correct answer is: Five times a number added to one is five added to five times a number
In the given question we have to find the equation having no solution.
Step 1: Convert the word problems into the numerical equation.
Let the number be x.
The equation of option a will be 4+5x= 4.
The equation for option b will be 5x+1=5+5x.
Here, the unknown term is the same on both sides which on solving gets canceled. So, the equation has no solution.
The equation for option c will be 5+6x=5x.
The equation for option d will be 5x+2=2+5x.
Here, the variable and constant terms are the same on both sides which on solving gives 0=0. So, this equation has infinitely many solutions.
So, the equation in option b has no solution.
Therefore, the correct option is b, i.e., five times a number added to one is five added to five times a number.
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
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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.
