Final answer:
The solution to the system of equations is (1, 6).
Step-by-step explanation:
To solve the given system of equations:
y = 8x - 2
y = 4x + 2
We can set the two equations equal to each other:
8x - 2 = 4x + 2
Subtracting 4x from both sides:
4x - 2 = 2
Adding 2 to both sides:
4x = 4
Dividing both sides by 4, we get:
x = 1
Substituting this value of x into either equation, we can solve for y:
y = 8(1) - 2
y = 6
Therefore, the solution to the system of equations is (1, 6).