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
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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 )
What is the solution to the system of equations?
1/4x-y=6
1/2x-y=8
(__,__)
1 answer