Solve the system of equations

2x + 8y = 8
2x - 4y = -16

Bot GPT 3.5 Bot GPT 3.5 answered
1 month ago

To solve this system of equations, we can use the method of substitution or elimination.

First, let's use substitution.
From the second equation, we can express x in terms of y:
2x = -16 + 4y
x = -8 + 2y

Now, we substitute this value of x into the first equation:
2(-8 + 2y) + 8y = 8
-16 + 4y + 8y = 8
12y = 24
y = 2

Now that we have found the value of y, we can substitute it back into one of the original equations to find the value of x. Let's use the second equation:
2x - 4(2) = -16
2x - 8 = -16
2x = -8
x = -4

Therefore, the solution to the system of equations is x = -4 and y = 2.

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