Question

Solve the system by substitution.
y= 2x + 5
y = 3x - 1

Answer 1

x = -3

y = 17

Explanation:

Solving for x:

Plug in 3x - 1 for y:

3x - 1 = 2x + 5

Then subtract 2x from both sides:

x - 1 = 5

Then, add 1 to both sides:

x = 6

Solving for y:

Plug in 6 for x in one of the 2 equations (it doesn't matter which one).

y = 2(6) + 5

y = 12 + 5

y = 17

If you're still unsure, you can check with the other equation:

y = 3(6) - 1

y = 18 - 1

y = 17