Question

Maria solved the equation below and got x = –4. Which of the following choices verifies that her solution is correct? 5x + 22 = x + 6

Answer 1

5(-4)+22 = (-4)+6
-20+22 = -4+6
2 = 2
Maria is correct, since both sides equally match.

Answer 2

Answer and Explanation :

Given : Maria solved the equation below and got x = –4.

To find : Equation verifies that her solution is correct?

Solution :

We have given the equation,

`5x+22=x+6`

To verify that her solution is correct we substitute x=-4 if LHS=RHS then she is correct.

LHS -
`5x+22`

Put x=-4

`5(-4)+22=-20+22=2`

LHS=2

RHS -
`x+6`

Put x=-4

`(-4)+6=2`

RHS=2

LHS=RHS

The solution is correct.