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# -6x+5y=16x+4y=-10

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### 1 Answer by Expert Tutors

Thomas W. | Effective Economics, Math, Finance, & Statistics TutorEffective Economics, Math, Finance, & St...
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Solve for X and Y:

Since we're dealing with 3 equations that are all equal to each other we can write them either together, side by side, or separately in a series.

-6x + 5y = -10

16x + 4y = -10

We need to isolate one of the variable so we can then solve for the other variable.  Let's isolate Y from the first equation.

5y = -10 + 6x  (added 6x to both sides)

y = -2 + (6/5)x  (divided both sides by 2)  (now plug Y into the second equation to solve for X)

16x + 4*(-2 + (6/5)x) = -10  (distribute by multiplying)

16x + (-8) + (24/5)x = -10  (simplify and combine like terms)  (LCD = 5 for adding the X variables)

(80/5)x - 8 + (24/5)x = -10

(104/5)x - 8 = -10  (add 8 to both sides)

(104/5)x = -2  (multiply by 5 then divide by 104)

answer:  x = -10/104 = -5/52  (now plug X back into first equation)

-6*(-5/52) + 5y = -10  (simplify)

30/52 + 5y = -10  (subtract 30/52 and simplify)  (LCD = 52)

5y = -520/52 - 30/52 = -550/52  (divide both sides by 5)

answer:  y = -550/260 = -55/26