What is the solution to the system of equations?

1/4x-y=6
1/2x-y=8
(__,__)

1 answer

1 / 4 x - y = 6

1 / 2 x - y = 8

Divide second equation by 2

1 / 4 x - 1 / 2 y = 4

1 / 4 x - y = 6
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1 / 4 x - 1 / 2 y = 4
______________

0 - y - ( - 1 / 2 y ) = 2

- y + 1 / 2 y = 2

- 2 / 2 y + 1 / 2 y = 2

- 1 / 2 y = 2

Multiply both sides by - 2

y = - 4

Put this value in equation:

1 / 4 x - y = 6

1 / 4 x - ( - 4 ) = 6

1 / 4 x + 4 = 6

Subtract 4 to both sides

1 / 4 x = 2

Multiply both sides by 4

x = 8

Solution is x = 8 , y = - 4

You can write solution as ( 8 , - 4 )