Question

Find the value from the given photo​

Answer 1

-
`(1)/(3)`

Explanation:

`(2x-3y)/(2x+3y)` ← factor out y from each term on numerator/ denominator

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

=
`(2((3)/(4))-3 )/(2((3)/(4))+3 )`

=
`((3)/(2)-3 )/((3)/(2)+3 )`

=
`(-(3)/(2) )/((9)/(2) )`

= -
`(3)/(2)` ×
`(2)/(9)`

= -
`(3)/(9)`

= -
`(1)/(3)`