Question

Solve the system of equations by equations
2x + 8y =8
2x-4y=-16

Answer 1

First, let's make it easier to solve by eliminating one of the variables. We can do this by multiplying the second equation by 2 and adding the two equations together:

2x + 8y = 8
4x - 8y = -32
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6x = -24
x = -4

Now that we have found the value of x, we can substitute it back into one of the equations to solve for y. Let's use the first equation:

2(-4) + 8y = 8
-8 + 8y = 8
8y = 16
y = 2

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