Question

Solve the system using substitution. Show your work.
y=-4x+2
x-2y=23

Answer 1

1. y = -4x + 2

Now, we can substitute this expression for y into the second equation:

2. x - 2y = 23

Substitute the value of y from equation 1 into equation 2:

x - 2(-4x + 2) = 23

Now, simplify and solve for x:

x + 8x - 4 = 23

Combine like terms:

9x - 4 = 23

Add 4 to both sides:

9x = 27

Divide by 9:

x = 3

Now that we have found the value of x, substitute it back into equation 1 to find y:

y = -4x + 2

y = -4(3) + 2

y = -12 + 2

y = -10

So, the solution to the system of equations is:

x = 3

y = -10