Final answer:
To solve the system of equations by substitution method, solve one equation for one variable and substitute it into the other equation. In this case, solving for y gives the answer.Therefore, the solution to the system of equations is x = 43 and y = 5.
Step-by-step explanation:
To solve the system of equations by substitution method, we need to solve one of the equations for one variable and substitute it into the other equation.
Given the system of equations:
x = 8y + 3
x = 9y - 2
Step 1: Solve one equation for one variable. We can solve the first equation for x:
x = 8y + 3
Step 2: Substitute the value of x from the first equation into the second equation:
8y + 3 = 9y - 2
Step 3: Solve for y:
8y - 9y = -2 - 3
-y = -5
y = 5
Step 4: Substitute the value of y back into one of the original equations to solve for x:
x = 8(5) + 3
x = 40 + 3
x = 43
Therefore, the solution to the system of equations is x = 43 and y = 5.