i need answers to this. Help is needed.

Question

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

x-3y= -18

-2x+y= -1

Answer 1

Hello Damien!

In order to find if the provided set is a solution, we'll have to plug it in to each of the equations to check if if the point is part of them.

x-3y=-18

(-3) - 3(5) = -18

-3 - 15 = -18

-18 = -18

-2x + y = 1

-2(-3) + (-5) = 1

6 - 5 = 1

1 = 1

The point works with both equations, so it is a solution

Answer 2

substitute (-3,5) for x,y in both equations, where x = -3 and y = 5:

x - 3y = -18 ?

-3 -3(5) = -3 -15 = -18 yes

-2x+y = -1 ?

-2(-3) + 5 = -6 + 5 = -1 yes