To solve for the values of x and y in the system of equations:
Y = 4x + 2
-6x + 2y = 8
We can start by rearranging the second equation to solve for y:
-6x + 2y = 8
2y = 6x + 8
y = 3x + 4
Now we can substitute this expression for y into the first equation:
Y = 4x + 2
3x + 4 = 4x + 2
Subtracting 4x from both sides:
x = -2
To find the value of y, we can substitute x = -2 into either equation:
Y = 4x + 2
Y = 4(-2) + 2
Y = -6
Therefore, the solution to the system of equations is x = -2 and y = -6.