What is the solution to the system of linear equations below?

25x-y=6

-2x+5y=-30

Select one:

A. (-13, 14)

B. (-5, - 8)

C. no solution

D. infinitely many solutions

(0,-6)

Step-by-step explanation:

1) solve the equations using elimination (our goal is to eliminate y)

So multiply the first equation by 5

5 (25x-y=6)

125x-5y=30

Now add the two equations to eliminate y

125x-5y=30

-2x+5y=-30

123x=0

X=0

Let's substitute x as 0 in the second equation

-2 (0) + 5y=-30

5y=-30

Y=-6