Find the solution to the system of equations: 2x+y=12 7x−2y=31

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25-04-2018
Mathematics

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Find the solution to the system of equations: 2x+y=12 7x−2y=31

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elliejl1016 elliejl1016 · Answer 1 · 2018-04-25T23:37:33+02:00

elliejl1016 elliejl1016

25-04-2018

x=5 and y=2
2x + y + -2x = 12 + -2x
y = -2x + 12
7x - 27 = 31 (we are substituting here for the y)
11x - 24 = 31
11x - 24 + 24 = 31 + 24
11x = 55
x = 5

y=-2x+12
y=(-2)(5)+12
y=2

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