SOLUTION: y=2x-2 y=-x+1

Question 56389: y=2x-2
y=-x+1
Answer by Lacey020991(49) (Show Source): You can put this solution on YOUR website!
y=2x-2
y=-x+1
I'm not sure which way your supposed to solve this, so i will show you all 3.
Graphing:

So your answer would be (1,0)
.
By elimination, you would need to put theses equations in to standard form
y = 2x - 2 ---- move the 2x to the other side
-2x + y = -2 ---- this next step isnt neccesary, but i like to do it.
2x - y = 2
.
y = -x + 1 ---- move the x to the other side
x + y = 1
.
You would now put these equations on top of each other and eliminate 1 variable. In this case, the y's cancel out and you dont have to multiply anything.
2x - y = 2
x + y = 1
-----------
3x = 3
x = 1
Put this answer back into one of the equations. The second looks easier to me so im going to use that 1.
x + y = 1
1 + y = 1
y = 0
So your answer is (1,0)
.
To solve by substitution, you would take one of the equations and put the second in where the variable is.
y=2x-2
y=-x+1
The second equation is y=... so wherever there is a y in the first equation, your going to put the second equation.
y=2x-2
-x + 1 = 2x - 2 ----then solve for x (isolate it)
1 = 3x - 2
3 = 3x
1 = x
Then put your answer back into one of the equations. the first looks easier to me, so im going to use that one.
y = 2x - 2
y = 2(1) - 2
y = 2 - 2
y = 0
So again your answer would be (1,0)
.
Hope this helped!

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