Question

Is (-2, -3) a solution to this system of equations? Yes or No
y = 2x + 1
y = x - 1

Answer 1

yes

Explanation:

substitute the x- coordinate of the point, that is x = - 2 into the right sides of both equations and if the value obtained for y is equal to the y- coordinate, that is y = - 3 then the point is a solution.

y = 2(- 2) + 1 = - 4 + 1 = - 3 ← true

y = - 2 - 1 = - 3 ← true

since both equations are true, then (- 2, - 3 ) is a solution to the system