Final answer:
To solve the system of equations by substitution, we can start by solving one of the equations for one variable and then substituting that expression into the other equation.
Step-by-step explanation:
To solve the system of 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 that x = -9y. We can substitute this expression for x in the first equation: 2(-9y) + 10y = -32.
Simplifying the equation, we get -18y + 10y = -32, which gives us -8y = -32.
Dividing both sides of the equation by -8, we find that y = 4. Substituting this value of y back into x = -9y, we get x = -9(4), which gives us x = -36.
Therefore, the solution to the system of equations is x = -36 and y = 4.