Final answer:
To solve the system of equations by substitution, solve one equation for one variable and substitute that expression in the other equation. The solution to the system is x = 3 and y = 9.
Step-by-step explanation:
To solve the system of equations by substitution, we need to solve one of the equations for one variable and then substitute that expression into the other equation.
Let's solve equation a for y:
y = 6x - 9
Now substitute this expression for y in equation b:
2x - 6(6x - 9) = -48
Simplify and solve for x:
2x - 36x + 54 = -48
-34x + 54 = -48
-34x = -102
x = 3
Now substitute this value of x back into equation a to find y:
y = 6(3) - 9
y = 18 - 9
y = 9
Therefore, the solution to the system of equations is x = 3 and y = 9.