Solve the system by substitution.

Question

y, equals, minus, 5, x, minus, 10
y=
−5x−10
y, equals, minus, 10, x
y=
−10x

Answer 1

To solve the system by substitution, we will set the two expressions for y equal to each other and solve for x.

So we have:

-5x - 10 = -10x

Add 10x to both sides:

5x - 10 = 0

Add 10 to both sides:

5x = 10

Divide by 5:

x = 2

Now that we have found the value of x, we can substitute it back into either equation to solve for y. Let's use the second equation:

y = -10(2)
y = -20

Therefore, the solution to the system of equations is x = 2 and y = -20.