Question

2х + 5y = 16
3х – 5y = - 1

Answer 1

x=3; y=2

Explanation:

2x+5y=16

-5y -5y

2x=-5y+16

/2 /2 /2

x=-
`(5)/(2)`y+8

*substitute*

3(-
`(5)/(2)`y+8)-5y=-1

-7
`(1)/(2)`y+24-5y=-1

-12
`(1)/(2)`y+24=-1

-24 -24

-12.5y=-25

/-12.5 /-12.5

y=2

*replace*

2x+5(2)=16

2x+10=16

-10 -10

2x=6

/2 /2

x=3

*solve to verify*

1. 2(3)+5(2)=16

6+10=16

16=16

2. 3(3)-5(2)=-1

9-10=-1

-1=-1