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Why is (6, –2) not a solution to the system of equations given below?
{2x-3y=18
5x=3y=3

A.
It satisfies the top equation but not the bottom equation.
B.
It satisfies the bottom equation but not the top equation.
C.
It doesn’t satisfy either the top or the bottom equations.
D.
It satisfies both the top and the bottom equations.

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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.

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