SOLUTION: y+g=12 and 2y+3g=16 Solve for each variable

Question 664165: y+g=12 and 2y+3g=16
Solve for each variable
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Starting with
y+g=12
2y+3g=16
...
To solve for y: Multiply the first equation by -3
-3(y+g=12)
Yielding
-3y - 3g = -36
Add the the second equation
2y + -3y + 3g + -3g = 16 + -36
Combine like terms
-y = -20
Divide both sides by -1
y = 20
...
To solve for x: Multiply the first equation by -2
-2(y+g=12)
Yielding
-2y - 2g = -24
Add the second equation
-2y + 2y + -2g + 3g = -24 + 16
Combine like terms
g = -8
....................
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