SOLUTION: solve using algebraic method. if possible check your solution 2x-5y=3 x-2y=7

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Question 982028: solve using algebraic method. if possible check your solution
2x-5y=3
x-2y=7
Found 2 solutions by stanbon, macston:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
2x-5y=3
x-2y=7
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Multiply thru the bottom equation by 2 to get:
2x - 5y = 3
2x - 4y = 14
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Subtract and solve for "y"::
y = 11
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Solve for "x"::
x - 2y = 7
x - 2*11 = 7
x = 7 + 22 = 29
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Cheers,
Stan H.
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Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
.
Second equation:
x-2y=7
x=2y+7
.
First equation:
2x-5y=3 Substitute for x.
2(2y+7)-5y=3
4y+14-53y=3
-y+14=3
-y=-11
y=11
.
x=2y+7
x=2(11)+7=29
.
ANSWER: x=29 and y=11
.
CHECK:
x-2y=7
29-2(11)=7
29-22=7
7=7
.
CHECK 2:
2x-5y=3
2(29)-5(11)=3
58-55=3
3=3