Final answer:
To solve the system of equations using the substitution method, rearrange one equation for one variable and substitute it into the other equation. Simplify and solve for the remaining variable. The solution to the system is x = 3 and y = 1.
Step-by-step explanation:
To solve the system of equations using the substitution method, we need to solve one equation for one variable and substitute it into the other equation.
From the first equation, we can rearrange it to x = y + 2.
Substituting this into the second equation gives 2(y + 2) + 3y = 9. Simplifying this equation, we get 2y + 4 + 3y = 9. Combining like terms, we have 5y + 4 = 9. Solving for y, we get y = 1.
Substituting y = 1 into the first equation, we get x - 1 = 2. Solving for x, we get x = 3.
Therefore, the solution to the system of equations is x = 3 and y = 1.