Question

Find the value of x and y that satisfies both the equaties x/y= 2/3 and y/24=3/4

Answer 1

Answer:
`\Large\boxed{x=12~;~y=18}`

Explanation:

Given a system of equations

`1)~(x)/(y) =(2)/(3)`

`2)~(y)/(24) =(3)/(4)`

Multiply 24 on both sides of 2) equation to isolate y-value

`(y)/(24)*24 =(3)/(4)*24`

`\Large\boxed{y=18}`

Substitute the y-value into the 1) equation

`(x)/(18) =(2)/(3)`

Multiply 18 on both sides of 1) equation to isolate y-value

`(x)/(18)*18 =(2)/(3)*18`

`\Large\boxed{x=12}`

Hope this helps!! :)

Please let me know if you have any questions