To solve the system of equations using the substitution method, we can start by isolating one of the variables in one of the equations and then substitute that expression into the other equation.
First, we'll solve for y in the first equation:
2x + y = 5
y = 5 - 2x
Now we'll substitute that expression for y into the second equation:
6x + 2(5 - 2x) = 17
6x + 10 - 4x = 17
2x = 7
x = 3.5
Now we'll substitute x=3.5 back into the expression for y that we found earlier:
y = 5 - 2(3.5)
y = 5 - 7
y = -2
So the solution to the system of equations is:
x = 3.5, y = -2