Final answer:
To solve the given system of equations, substitution is used by replacing y with x - 1 in the first equation, solving for x, and then finding y. The solution is x = 8 and y = 7.
Step-by-step explanation:
To solve the system of equations using substitution, we start by taking the second equation y = x - 1 and substituting it into the first equation (2x - 3y = -5). This gives us:
2x - 3(x - 1) = -5
Now we simplify and solve for x:
2x - 3x + 3 = -5
-x + 3 = -5
-x = -5 - 3
-x = -8
x = 8
Once we have the value of x, we substitute it back into the equation y = x - 1 to find y:
y = 8 - 1
y = 7
The solution to the system of equations is x = 8 and y = 7.