Question 831595: solve by the elimination method p=40+q and 7p=-9q+360
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
p = 40 + q
7p = -9q + 360
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put the system of linear equations into standard form:
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x = p
y = q
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x = 40 + y
7x = -9y + 360
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x - y = 40
7x + 9y = 360
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solution by matrix method:
x = p = 45
y = q = 5
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now by elimination:
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x - y = 40
7x + 9y = 360
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p - q = 40
7p + 9q = 360
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( p - q = 40 ) * -7
7p + 9q = 360
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-7p + 7q = -280
7p + 9q = 360
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add the system:
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16q = 80
q = 5
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p = 40 + q
p = 40 + 5
p = 45
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solution by elimination method:
x = p = 45
y = q = 5
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