SOLUTION: 5x - 2y = -4

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Question 502702: 5x - 2y = -4
Answer by persian52(161) About Me  (Show Source):
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5x-2y=-4
Since -2y does not contain the variable to solve for, move it to the right-hand side of the equation by adding 2y to both sides.
5x=2y-4
Divide each term in the equation by 5.
(5x)/(5)=(2y)/(5)-(4)/(5)
Cancel the common factor of 5 in (5x)/(5).
(5x)/(5)=(2y)/(5)-(4)/(5)
Remove the common factors that were cancelled out.
x=(2y)/(5)-(4)/(5)
Combine the numerators of all expressions that have common denominators.
x=(2y-4)/(5)
Factor out the GCF of 2 from the expression 2y.
x=(2(y)-4)/(5)
Factor out the GCF of 2 from the expression -4.
x=(2(y)+2(-2))/(5)
Factor out the GCF of 2 from 2y-4.
x=(2(y-2))/(5)