Question

2х + 5y = 16 3х – 5y = - 1

Answer 1

Answer:

x=3; y=2

Step-by-step explanation:

2x+5y=16

   -5y   -5y

2x=-5y+16

/2   /2   /2

x=-$\frac{5}{2}$y+8

*substitute*

3(-$\frac{5}{2}$y+8)-5y=-1

-7$\frac{1}{2}$y+24-5y=-1

-12$\frac{1}{2}$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