Final answer:
To solve the system by substitution, substitute y=2x into the second equation. Simplify the equation and solve for x. Substitute the value of x back into the first equation to find y.
Step-by-step explanation:
To solve the system by substitution, we can start by substituting the value of y from the first equation into the second equation. Since y=2x, we can replace y in the second equation with 2x.
-3x + 8(2x) = 26
Simplifying the equation, we get -3x + 16x = 26. Combining like terms, it becomes 13x = 26. Dividing both sides by 13, we find x = 2.
Substituting the value of x back into the first equation, we get y = 2(2) = 4.
Therefore, the solution to the system of equations is x = 2 and y = 4.