Answer:
x=3; y=2
Step-by-step explanation:
2x+5y=16
-5y -5y
2x=-5y+16
/2 /2 /2
x=-[tex]\frac{5}{2}[/tex]y+8
*substitute*
3(-[tex]\frac{5}{2}[/tex]y+8)-5y=-1
-7[tex]\frac{1}{2}[/tex]y+24-5y=-1
-12[tex]\frac{1}{2}[/tex]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
