Question

Why is (6, –2) not a solution to the system of equations given below?

Answer 1

ANSWER

A.

It satisfies the top equation but not the bottom equation.

EXPLANATION

The given equations are;

2x-3y=18

5x+3y=3

When we substitute x=6 and y=-2 into the top equation we get,

2(6)-3(-2)=18

12+6=18

18=18

This is true. Hence the point satisfy the top equation.

But when we substitute x=6 and y=-2 into the bottom equation we get,

5(6)+3(-2)=3

30-6=3

24=3

Hence the bottom equation is not satisfied.

The first choice is correct.