Final answer:
To solve the system of equations using substitution, solve one equation for one variable and substitute that expression into the other equation. The solution to the system of equations is x = 2 and y = 5.
Step-by-step explanation:
To solve the system of equations using substitution, we will solve one equation for one variable and substitute that expression into the other equation.
From the second equation, we can solve for y:
y = 9 - 2x
Substitute this expression for y in the first equation:
2x - 3(9 - 2x) = -11
Simplify and solve for x:
2x - 27 + 6x = -11
8x - 27 = -11
8x = 16
x = 2
Now substitute this value for x back into one of the original equations:
2(2) + y = 9
4 + y = 9
y = 5
Therefore, the solution to the system of equations is x = 2 and y = 5.