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,
[tex]5x+22=x+6[/tex]
To verify that her solution is correct we substitute x=-4 if LHS=RHS then she is correct.
LHS - [tex]5x+22[/tex]
Put x=-4
[tex]5(-4)+22=-20+22=2[/tex]
LHS=2
RHS - [tex]x+6[/tex]
Put x=-4
[tex](-4)+6=2[/tex]
RHS=2
LHS=RHS
The solution is correct.