Final answer:
To solve the system of equations using the substitution method, solve one equation for one variable and substitute it into the other equation to find the values of x and y. In this case, x = 1 and y = -7.
Step-by-step explanation:
To solve the system of equations using the substitution method, we'll start by solving one of the equations for one variable and substituting it into the other equation. Let's solve the second equation for y:
4x - y = 11
y = 4x - 11
Now, substitute this expression for y in the first equation:
7x + 8(4x - 11) = -49
Simplify and solve for x:
7x + 32x - 88 = -49
39x = 39
x = 1
Now substitute the value of x back into the second equation:
y = 4(1) - 11
y = -7
So, the solution to the system of equations is x = 1 and y = -7.