Question

Question
Solve the system of linear equations by substitution.

y=x−4
y=4x−10

Answer 1

x = 2, y = -2

Explanation:

To solve by substitution, you first need an isolated variable in one equation. Luckily, y is isolated in both equations.

Because y = y, we can set the other sides of the equations equal to each other.

x - 4 = 4x - 10 [substitute]

The next step is to isolate and solve for x

x = 4x - 10 + 4

x - 4x = -6

-3x = -6

x = 2

Next, you substitute x into both equations.

y = (2) - 4

y = -2

y = 4(2) - 10

y = 8 - 10

y = -2

Because both equations work out to the same value, you have the correct answer.