Question

Use the substitution method to solve the system of equations below. Enter your answer as an ordered pair.
y=5x-17
y=x+3

Answer 1

This is very easy! :)
You already have y isolated in each equation, so you can set them equal to each other:
5x-17 = x+3
Now solve that for x.

Answer 2

isn;t it 4x=-14

Answer 3

isn;t it 4x=-14

Answer 4

isn;t it 4x=-14

Answer 5

isn;t it 4x=-14

Answer 6

isn;t it 4x=-14

Answer 7

isn;t it 4x=-14

Answer 8

Close! The left side is right, check your addition on the right side.

Answer 9

isn't it -17+3

Answer 10

isn't it -17+3

Answer 11

isn't it -17+3

Answer 12

You need to eliminate -17 on the left side, so to do that, you'll add 17 to both sides:
5x - 17=x + 3
(5x - x) - 17 = (x - x) + 3
4x - 17 = 3
4x - 17 + 17 = 3 + 17
4x = 20

Does that make sense so far?

Answer 13

Yes So would x= 5

Answer 14

Yes!
Then you plug that in to either of your equations. Using y = x + 3 would probably be easier.

Answer 15

So (5,8) right?=)

Answer 16

Correct :)