Question 163055: Solve by substitution:
2x+2y=2
3x-y=1
Answer by joecbaseball(37)   (Show Source):
You can put this solution on YOUR website!
First, to do substitution, you need to solve for one of the variables in one of the equations. It does not matter which one. I will solve for y in the second equation.
Thus, 3x – y = 1 gives us y = 3x – 1.
Now, substitute this value for y into the first equation:
2x + 2y = 2
2x + 2(3x - 1) = 2
2x + 6x - 2 = 2
8x = 4
x = 4/8 = ½.
So, now that you have the value of x, you substitute that back into either equation to solve for y:
2x + 2y = 2
2(1/2) + 2y = 2
1 + 2y = 2. Solve for y.
2y = 1
y = ½.
So, your answers are x = ½, y = ½.
Good luck,
JoeC
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