Solve for both systems: 2x + 5y = 31 and 5x + 2y = 25

Asked by AnneS2 on 12 Aug 06:25

Last updated by anonymous on 13 Aug 17:55

Answered by CherieS on 13 Aug 17:55

2x + 5y = 31

2x + 5y-5y= 31-5y

2x= 31-5y

2x/2= 31-5y/2

x=15.5-2.5y

5x + 2y = 25

5(15.5-2.5y) + 2y = 25

5(15.5) (5)(-2.5y) + 2y = 25

77.5-12.5y+ 2y = 25

77.5-10.5y= 25

77.5-10.5y-77.5= 25-77.5

-10.5y=-52.5

-10.5y/-10.5=-52.5/-10.5

y=5

x=15.5-2.5y

x=15.5-2.5(5)

x=15.5-12.5=3