Question

Solve the system of equations. X + y = -4 and y= -x + 5

Answer 1

NO SOLUTIONS!!

Explanation:

We are given the equations of two lines:

`x + y = -4` and

`x + y =  5`.

Here, we are to find two ral numbers,
`(x, y)` such that
`x + y = -4` and
`5` at the same time. This is clearly not possible.

So we say this system of equations is inconsistent and have no solutions.

This means that when we graph them these two lines will never intersect and in fact they are a pair of parallel lines.

So, the system does not have a solution.