Question 1045394: Determine the ordered pair solution for the given linear equations. state the answer in 2 decimal places.
-x/5-y/7=3 and y/3-x/2=1/11
Answer by rothauserc(4718)   (Show Source):
You can put this solution on YOUR website! 1) -x/5 - y/7 = 3
2) y/3 -x/2 = 1/11
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Equation 1)'s common denominator is 35, multiply both sides of = by 35
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3) -7x -5y = 105
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Equation 2)'s common denominator is 66, multiply both sides of = by 66
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4) 22y -33x = 6
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solve equation 3) for x
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-7x = 5y +105
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x = -5y/7 -15
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substitute for x in equation 4)
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22y -33(-5y/7 -15) = 6
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22y +165y/7 +495 = 6
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319y/7 = -489
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319y = -3423
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y = -10.73
x = -5(-10.73)/7 -15 = -7.34
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the ordered pair is (-7.34, -10.73)
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substitute for x and y in the equation
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y/3 -x/2 = 1/11
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-10.73/3 -(-7.34)/2 = 1/11
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-3.58 +3.67 = 1/11
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0.09 = 0/09
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our answer checks :-)
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