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using the elimination method solve 6=6x+6y and -14y=18x+14

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help me solve step by step

asked Dec 4, 2013 in ALGEBRA 2 by johnkelly Apprentice
reshown Dec 4, 2013 by goushi

1 Answer

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Elimination method

Given equation 6 = 6x+6y

Muliple to each side by 3.

18x+18y = 18 ---------> (1)

And -14y = 18x+14

Subtract 18x from each side.

-14y-18x = 18x-18x +14

-18x-14y = 14 ---------> (2)

To eliminae he x value add the equations (1) and (2).

18x+18y = 18

-18x-14y = 14

____________

4y = 32

Divide to each side by 4

4y/4 = 32/4

y = 8

Substitute he y value in (1).

18x+18*8 = 18

18x+144 = 18

 Subtract 144 from each side.

18x+144-144 = 18-144

18x = -126

Divide to each side by 18 .

18x/18 = -126/18

x = -7

Solution is x = -7, y = 8.

 

 

answered Dec 4, 2013 by william Mentor

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