Final answer:
To solve the system of equations 4x-y=10 and y=2x-2, we can use the method of substitution. The solution to the system of equations is x = 4 and y = 6.
Step-by-step explanation:
To solve the system of equations 4x-y=10 and y=2x-2, we can use the method of substitution. We can solve one equation for one variable and substitute it into the other equation. Let's solve the second equation for y:
y = 2x - 2
Now we substitute this value of y into the first equation:
4x - (2x - 2) = 10
4x - 2x + 2 = 10
2x + 2 = 10
2x = 8
x = 4
Now substitute the value of x back into the second equation to find y:
y = 2(4) - 2
y = 8 - 2 = 6
Therefore, the solution to the system of equations is x = 4 and y = 6.