Final answer:
The solution to the system of equations is x = 1 and y = 2.
Step-by-step explanation:
To solve the system of equations by substitution, we can start with the first equation y = 8x - 6 and substitute this expression for y in the second equation. Substituting y = 8x - 6 into the equation y = 2x, we get 8x - 6 = 2x. Now we can solve this equation to find the value of x. Subtracting 2x from both sides gives us 6x - 6 = 0, and then adding 6 to both sides gives us 6x = 6. Dividing both sides by 6 gives us x = 1.
Now that we have the value of x, we can substitute it back into one of the original equations to find the value of y. Using the equation y = 8x - 6 and substituting x = 1, we get y = 8(1) - 6, which simplifies to y = 2.
Therefore, the solution to the system of equations is x = 1 and y = 2.