Question

Solve the system of equations using substitution: -2/3x - 7y = 6 and x + 3y = -9. Clearly identify your solution.

Answer 1

To solve the given system of equations using substitution, we solve one equation for x or y, substitute into the other equation, and then solve for the remaining variable. The solution for the system -2/3x - 7y = 6 and x + 3y = -9 is x = -9 and y = 0.

Step-by-step explanation:

To solve the system of equations using substitution, we have the following two equations:

• Equation 1: -2/3x - 7y = 6
• Equation 2: x + 3y = -9

First, solve Equation 2 for x:

1. x = -9 - 3y

Next, substitute this expression for x into Equation 1:

1. -2/3(-9 - 3y) - 7y = 6
2. 6 + 2y - 7y = 6
3. -5y = 6 - 6
4. -5y = 0
5. y = 0

Now, plug the value of y back into Equation 2 to find x:

1. x = -9 - 3(0)
2. x = -9

The solution to the system of equations is x = -9 and y = 0.