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.