Question

Two systems of equations are given below. For each system, choose the best description of its solution. If applicable, give the solution5x - y = -5-5x + y = -5

Answer 1

Given:

`5x-y=-5\text{ }`
`-5x+y=-5`

Set both equations into y=mx+b form

For the first equation:

`5x-y=-5\Rightarrow5x=y-5\Rightarrow y=5x+5`

For the second equation:

`-5x+y=-5\Rightarrow y=5x-5`

So we have these two equation is a better form. Both equation have different y intercept that being different b's in y=mx+b but their slopes are the same.

They both have 5 in front of their x's so they are both parallel lines.

Answer: They are parallel lines so they with never touch so the system has no solution.