Respuesta :

Answer:

infinitely many solutions

Step-by-step explanation:

We want to find solution to the system:

-4y=-20x+40

y+10=5x

We make y the subject in the second equation to get;

y=5x-10

We substitute y=5x-10 into the top equation to get:

[tex] - 4(5x - 10) = - 20x + 40[/tex]

We expand to obtain;

[tex] - 20x + 40= - 20x + 40[/tex]

This implies that:

[tex]40 = 40[/tex]

Therefore the system has infinitely many solutions.