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What is the solution to the system of equations? { X + 2y = -8
y = 1/2x - 2
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x = -2 , y = -3

Step-by-step explanation:

Let's rearrange the second equation to make x and y on the same side :

y = 1/2x - 2

1/2x - y = 2

Now let's compare the 2 equations :

x + 2y = -8

1/2x - y = 2

Now we multiply the second equation by 2 to make the co-efficient of y the same :

x + 2y = -8

x -2y = 4

Since the signs are different we add the 2 equations :

2x = -4

Divide both sides by 2 to solve for x :

x = -2

Substitute x value into equation 2 to solve for y :

y = 1/2(-2) - 2

y = -1 - 2

y = -3

Our answer is x = -2 , y = -3

Hope this helped and have a good day
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x=4 and y=2

Step-by-step explanation: my brain has far surpassed the human comprehension
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