Question

Solve the System of Equations using Elimination/Combinations. -2x-y=-4 x+2y=5

Answer 1

(1,2)

Explanation:

x+2y=5

-2x-y=-4

Multiply the first equation by 2

2(x+2y)=5*2

2x +4y = 10

Add this to the second equation

2x +4y = 10

-2x-y=-4

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3y = 6

Divide by 3

3y/3 = 6/3

y =2

Now we need to find x

x+2y = 5

Substitute y in

x +2(2) =5

x+4 =5

Subtract 4 from each side

x+4-4=5-4

x =1