Question

Answer for linear equation -8x-8y=0 and -5x-7y=-12

Answer 1

To solve the system of equations -8x - 8y = 0 and -5x - 7y = -12, eliminate one variable by multiplying the equations and then solve for the remaining variable. The system of equations in this case is dependent and has infinitely many solutions.

Step-by-step explanation:

To solve the given system of equations:

-8x - 8y = 0

-5x - 7y = -12

1. Choose a variable to eliminate by multiplying the top equation by 5 and the bottom equation by 8.
2. Add the equations together to eliminate the chosen variable.
3. Solve for the remaining variable.
4. Substitute the value of the variable into one of the original equations to find the other variable.
5. The solution to the system of equations is the values of the variables that satisfy both equations.

In this case, let's eliminate y by multiplying the top equation by 5 and the bottom equation by 8:

-40x - 40y = 0

-40x - 56y = -96

Adding these equations together, we get:

-96 = -96

This equation is true for all values of x and y, indicating that the system of equations is dependent and has infinitely many solutions.