To find the solution for this system of equations, we can set y equal to each other:
- x + 6 = 3x - 2
Now, solve for x by moving all x terms to one side:
- x - 3x = -2 - 6
- 4x = -8
- x = -8/4
- x = -2
Now that we have the value of x, we can substitute it back into one of the original equations to find y:
y = -(-2) + 6
y = 2 + 6
y = 8
So, the solution to the system of equations y = -x + 6 and y = 3x - 2 is x = -2 and y = 8.
y=−x+6
y=3x−2
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