To solve this system of equations, we can use the method of substitution.
From the first equation, we can isolate y by subtracting 8x from both sides:
2y = -2 - 8x
Dividing both sides by 2:
y = -1 - 4x
Now substitute this value of y into the second equation:
-4x + 4(-1 - 4x) = -8
Simplifying:
-4x - 4 - 16x = -8
Combining like terms:
-20x - 4 = -8
Add 4 to both sides:
-20x = -4
Divide both sides by -20:
x = -4/-20
Simplifying:
x = 1/5
Now substitute this value of x back into the equation y = -1 - 4x:
y = -1 - 4(1/5)
y = -1 - 4/5
y = -5/5 - 4/5
y = -9/5
Therefore, the solution to the system of equations is x = 1/5 and y = -9/5.
8x+2y=−2
−4x+4y=−8
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