Final answer:
To solve the system of linear equations by substitution, solve one equation for a variable and substitute it into the other equation. In this case, the solution is x = 1 and y = -3.
Step-by-step explanation:
To solve the system of linear equations by substitution, we can start by solving one of the equations for one variable and then substituting that expression into the other equation. In this case, we are given the equations:
6x - 9 = y
y = -3x
Step 1: Solve the second equation for y:
y = -3x
Step 2: Substitute y = -3x into the first equation:
6x - 9 = -3x
Step 3: Solve for x:
9x = 9
x = 1
Step 4: Substitute x = 1 back into either of the original equations to solve for y:
y = -3(1)
y = -3
Therefore, the solution to the system of linear equations is x = 1 and y = -3.