Solve the system of equations using substitution.
y = 2x - 10
y = 4x - 8
(-1, -12)
(-4,-17)
(3,4)
(3,-4)

x = -1 , y = -12

Step-by-step explanation using substitution:

Solve the following system:

{y = 2 x - 10

y = 4 x - 8

Hint: | Perform a substitution.

Substitute y = 2 x - 10 into the second equation:

{y = 2 x - 10

2 x - 10 = 4 x - 8

Hint: | Choose an equation and a variable to solve for.

In the second equation, look to solve for x:

{y = 2 x - 10

2 x - 10 = 4 x - 8

Hint: | Isolate x to the left hand side.

Subtract 4 x - 10 from both sides:

{y = 2 x - 10

-2 x = 2

Hint: | Solve for x.

Divide both sides by -2:

{y = 2 x - 10

x = -1

Hint: | Perform a back substitution.

Substitute x = -1 into the first equation:

{y = -12

x = -1

Hint: | Sort results.

Collect results in alphabetical order:

{x = -1 , y = -12