Question

Which graph represents the solution to the given system y=-5x-2 y+2=-5x

Answer 1

y1 = -5x - 2;
y2 = -5x - 2

y1 = y2, => infinitely many solutions

Answer 2

The graph in the attached figure

Explanation:

we have

`y=-5x-2` -------> equation A

`y+2=-5x` -----> equation B

Isolate the variable y in the equation B

`y+2=-5x`------>
`y=-5x-2`

Equation A and equation B are equal

Line A and Line B are the same

therefore

The system of equations is a consistent dependent system

The system of equations has infinitely solutions

All ordered pairs belong to the line are solutions of the system

see the graph in the attached figure