When will the equations y=5000/8.5x+30000 and y=15000/5.5x+5000 be of equal value? (when will y be the same in both equations while x is also the same)

Easey

set equal to each other

5000/8.5x+30000=15000/5.5x+5000

minus 5000 both sides

5000/8.5x+25000=15000/5.5x

times both sides by (8.5) (5.5)

(5.5) (5000) x + (8.5) (5.5) (25000) = (8.5) (15000) x

27500x+1168750=127500x

minus 27500x from both sides

1168750=100000x

divide both sides by 100000

x=11.6875

sub

y = (5000/8.5) (11.6875) + 30000

y=6875+30000

y=36875

(x, y)

(11.6875,36875)