Question

If x= 2y-3 and 2x +1/2y =3 then y =

Answer 1

y = 2

Explanation:

given

x = 2y - 3

and

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

substitute x = 2y - 3 into 2x +
`(1)/(2)` y = 3

2(2y - 3) +
`(1)/(2)` y = 3 ← distribute parenthesis

4y - 6 +
`(1)/(2)` y = 3 ( add 6 to both sides )

4y +
`(1)/(2)` y = 9 ( multiply through by 2 to clear the fraction )

8y + y = 18

9y = 18 ( divide both sides by 9 )

y = 2