Question

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

Answer 1

Answer:

(0,-6)

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