234k views
5 votes
Select the ordered pair that is a solution of the system of linear equations. y=2x−2 y=−x+4 (1,2) (2,1) (1,1) (2,2)

User Waddie
by
8.2k points

2 Answers

6 votes

Answer:

2=2

Explanation:

User Rayon Nunes
by
8.9k points
5 votes

To find the solution, you can either plug in the points into each equation, or you can do this:

y = 2x - 2

y = -x + 4

Set the two equations equal to each other

2x - 2 = -x + 4 Add 2 on both sides

2x = -x + 6 Add x on both sides

3x = 6 Divide 3 on both sides

x = 2


Now that you know x, you can plug in 2 for x in either of the equations to find y:

y = -x + 4

y = -2 + 4

y = 2


(2,2)


[when you plug (2,2) into each equation]

y = 2x - 2

2 = 2(2) - 2

2 = 4 - 2

2 = 2


y = -x + 4

2 = -2 + 4

2 = 2

User Dennis Best
by
8.5k points