Note: Determine whether the solution to the new equation is a solution to the old system of equations by graphing. Use Desmos!

To solve the system of equations by substitution, we'll solve one equation for one variable and substitute it into the other equation.

Let's solve the second equation for x:
x = -7 - 3y

Now, substitute this value of x into the first equation:
6y + 5(-7 - 3y) = 8

Solving this equation will give us the value of y, and then we can substitute it back into one of the original equations to find the value of x.