Question

Is (-2,2) a solution to the system y-x=-4 and -3x-2y=-10?​

Answer 1

In order for an ordered pair to be a solution to a system of equations, it make hold true for every equation.
2-(-2)=4
Does not equal -4, so this equation is false, therefore this ordered pair cannot be a solution to the system.

Answer 2

(-2,2) is NOT a solution to the system y-x=-4 and -3x-2y=-10.

Explanation:

x = -2

y = 2

i) y - x = -4

=> 2 - (-2) = -4

=> 2 + 2 = -4

=> 4 ≠ -4

So, (-2,2) is NOT a solution to the system y - x = -4.

ii) -3x + -2y = -10

=> -3(-2) + -2(2) = -10

=> 6 + -4 = -10

=> 2 ≠ -10

So, (-2,2) is NOT a solution to the system -3x-2y=-10.

Therefore, (-2,2) is NOT a solution to the system y-x=-4 and -3x-2y=-10.

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