Question

Find the atleast 3 solutions following equations:

a) 2y-x=8
b)5y-x=14
c)y-2x=1

Answer 1

a) 2y-x=8
case 1:
let
x=0
2y-0=8
2y=8
y=8/2
y=4


case2:
let,x=1
2y-1=8
2y=8+1
2y=9
y= 9/2
y=4.5

case 3:
let,y=0
2(0)-x=8
x=-8

b)


5y-x=14
case 1:
let,x=0
5y-0=14
5y=14
y=14/5
y=2.8

case2:
let,x=1
5y-1=14
5y=14+1
5y=15
y=15/5
y=3

case3:
let,x=2
5y-2=14
5y=14+2
5y=16
y=16/5
y=3.2


c)y-2x=1
case1:
let,x=0
y-2(0)=1
y=1

case2:
let,x=2
y-2(2)=1
y-4=1
y=1+4
y=5
case3:
let y=0
0-2(x)=1
-2x=1
x=-1/2

Answer 2

Hi

a)2y-x=8.

1)Let x=2 2y-2=8 2y=8+2 2y=10 y=10/2 y=5.
2)Let x=4 2y-4=8 2y=8+4 2y=12 y=12/2 y=6.
3) Let x=6 2y-6=8 2y=8+6 2y=14 y=14/2 y=7.

b)5y-x=14.

1)Let x=1 5y-1=14 5y=14+1 5y=15 y=15/5 y=3.
2)Let x=6 5y-6=14 5y=14+6 5y=20 y=20/5 y=4.
3)Let x=11 5y-11=14 5y=14+11 5y=25 y=25/5 y=5.

c)y-2x=1.

1)Let x=2 y-2×2=1 y-4=1 y=1+4 y=5.
2)Let x=3 y-2×3=1 y-6=1 y=1+6 y=7.
3)Let x=4 y-2×4=1 y-8=1 y=1+8 y=9.

HOPE IT HELPS.