What is the solution to the following system of equations?

y=-4x+2
y=x-3

A (2,-3)
B(1,-2)
C(2,3)
D(1,2)

1 answer

To find the solution to the system of equations, you can set the two equations equal to each other:

-4x + 2 = x - 3

Combine like terms:

-4x - x = -3 - 2
-5x = -5

Divide by -5:

x = 1

Now, plug x = 1 into one of the original equations to solve for y. Let's use the second equation:

y = 1 - 3
y = -2

Therefore, the solution to the system of equations is B(1, -2).