Final answer:
To solve the system of equations using the substitution method, solve one equation for one variable and substitute it in the other equation. The solution to this particular system is x = -4 and y = 3.
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 that expression into the other equation. Let's start by solving the first equation for y:
y = -5x - 17
Now, substitute this expression for y in the second equation:
-3x - 3(-5x - 17) = 3
Simplify and solve for x:
-3x + 15x + 51 = 3
12x = -48
x = -4
Now, substitute the value of x back into the first equation to find y:
y = -5(-4) - 17
y = 20 - 17
y = 3
Therefore, the solution to the system of equations is x = -4 and y = 3.