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  • 06-12-2020
  • Mathematics
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  • 06-12-2020

-6x-2y=42

x-y=-15

Multiply x-y=-15 by 6 ( eliminate the x first)

6(x-y)=6(-15)

(6)(x)=6x

(6)(-y)=-6y

6(-15)=-90

-6x-2y=42

6x-6y=-90

eliminate x the systems of equations by subtracting

-6x+6x-2y+-6y=42-90

-2y-6y=42-90

-8y=-48

divide both sides by -8 to get y by itself

-8y/-8=-48/8

y=6

Find x by substitution method

use y=6 into one of the system of equations

x-y=-15

x-6=-15

move -6 to the other side

sign changes from -6 to +6

x-6+6=-15+6

x=-15+6

x=-9

answer:

(-9,6)

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