SOLUTION: 2x-y=3 x+y=12

Question 1131461: 2x-y=3
x+y=12

Found 2 solutions by rothauserc, josmiceli:
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
1) 2x -y = 3
:
2) x+ y = 12
:
add equations 1 and 2 together
:
3x = 15
:
x = 5
:
substitute for x in equation 2
:
5 +y = 12
:
y = 7
:
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x = 5, y = 7
:
check answers
:
equation 1
:
2x -y = 3
:
2(5) -7 = 3
:
10 -7 = 3
:
3 = 3
:
equation 2
:
x+ y = 12
:
5 +7 = 12
:
12 = 12
:
answer checks
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:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

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Add the equations

Put this result back into either of the equations

Subtract from both sides

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The solution is ( 5, 7 )
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check:

OK
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