# Linear Equations

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Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this.
-2x - 8y = 22
-6x - y = 20

• Linear Equations -

-2x - 8y = 22 ...(1)
-6x - y = 20 ...(2)

(2)-3(1)
23y = -46
y = -2 ...(3)

substitute (3) in(2)
-6x +2 = 20
x=-3 ...(4)

substitute (3) and (4) in (1)
6 + 16 =22 = RHS

So
x=-3, y=-2

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