Solve the following system by any method. 8x + 9y = -5 and -8x - 9y = 5

Solution:

Given, the system of equations are

8x + 9y = -5 --- (1)

-8x - 9y = 5 --- (2)

We have to solve the system of equations.

Now, equation (2) becomes

-8x - 5 = 9y

Put the value of 9y in (1)

8x + (-8x - 5) = -5

8x - 8x - 5 = -5

0 - 5 = -5

This is a true statement hence infinitely many solutions.

Solve the following system by any method. 8x + 9y = -5 and -8x - 9y = 5

Summary:

The solution to the system of equations 8x + 9y = -5 and -8x - 9y = 5 has infinitely many solutions.