Question

Is (-5, 3) a solution to this system of equations?

y = X-6
y = -2x - 7
yes

no

Answer 1

No

Explanation:

to determine if (- 5, 3 ) is a solution substitute the x- coordinate into both equations and if the value of y is equal to the y- coordinate then the point is a solution to the system.

y = x - 6 = - 5 - 6 = - 11 ≠ 3

y = - 2x - 7 = - 2(- 5) - 7 = 10 - 7 = 3

since both equations are not satisfied , then

(- 5, 3 ) is not a solution to the system