SOLUTION: 8 y - 1 = x 3 x = 2 y I need to find x and y. I'm stuck on it, thanks in advance.

Algebra ->  Expressions-with-variables -> SOLUTION: 8 y - 1 = x 3 x = 2 y I need to find x and y. I'm stuck on it, thanks in advance.      Log On


   

Question 635945: 8 y - 1 = x
3 x = 2 y
I need to find x and y. I'm stuck on it, thanks in advance.
Answer by Maths68(1474) About Me  (Show Source):
You can put this solution on YOUR website!
8y-1=x..............(1)
3x=2y...............(2)
Substitute the value of x from (1) to (2)
3(8y-1)=2y
24y-3=2y
24y-2y=3
22y=3
22y/22=3/22
y=3/22
Put the value of y in (2)
3x=2(3/22)
3x=3/11
3x/3=(3/11)/3
x=1/11
x,y=1/11,3/22


Check
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Put the values of x and y in (1)
8y-1=x..............(1)
8(3/22)-1=1/11
24/22-1=1/11
(24-22)/22=1/11
2/22=1/11
highlight_red%281%2F11=1%2F11%29
Put the values of x and y in (1)
3x=2y...............(2)
3(1/11)=2(3/22)
3/11=6/22
highlight_red%283%2F11=3%2F11%29