How do you solve the system equation 4x plus 3y equals 33 and x equals -4y-25?

Answer 1

So

1. 4x + 3y = 33

2. x = -4y - 25

Two linear equations (degree one polynomial) are likely to be consistent. If you have some knowledge with matrices, using Gaussian Elimination it can be done easily. I will assume that knowledge is not available.

It is known that x and y are related in a way such that both equations are satisfied, in particular x = -4y - 25. so 4x is namely 4(-4y - 25) and 4x + 3y = 4(-4y - 25) + 3y which is 33.

Simplify the single variable polynomial y and solve for y. It should be an easy way of rearranging things.

For the matrix method, post in discussion.