Solve the system by substitution.

y, equals, minus, 6, x
y=
−6x
y, equals, minus, 4, x, plus, 2
y=
−4x+2

1 answer

Since both equations given are equal to y, we can set them equal to each other and solve for x.

−6x = −4x+2

Adding 4x to both sides:
−6x+4x = 2

Simplifying:
−2x = 2

Dividing both sides by -2:
x = -1

Now that we have the value of x, we can substitute it back into one of the equations to solve for y.

y = −6(-1)
y = 6

Therefore, the solution to the system of equations is x = -1 and y = 6.
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