How do you solve the system of equations 50x + 40= y50x+40=y and 30x + 45= y30x+45=y?

1 Answer
Apr 16, 2018

x=0.25,y=52.5x=0.25,y=52.5

Explanation:

:.50x+40=y------(1)

:.30x+45=y------(2)

:.(1)-(2)

:.20x-5=0

:.20x=5

:.x=cancel 5^1/cancel 20^4

:.x=1/4 or 0.25

substitute x=0.25 in (1)

:.50(0.25)+40=y

:.12.5+40=y

:.y=52.5

~~~~~~~~~~~~~~~

check:-

substitute x=0.25and y=52.5 in (2)

:.30(0.25)+45=52.5

:.7.5+45=52.5

:.52.5=52.5