Question

HELP ME

Answer 1

`(-2m+4)/(3m-2)=5/2`

`<=>2(-2m+4)=5(3m-2)`

`<=>-4m+8=15m-10`

`<=>18=19m`

`<=>m=18/19`

Answer 2

\(\dfrac{-2m+4}{3m-2}=\dfrac{5}{2}\)

⇔ \(2\left(-2m+4\right)=5\left(3m-2\right)\)

⇔ \(-4m+8=15m-5\)

⇔ \(-4m-15m=-5-8\)

⇔ \(-19m=-13\)

⇔ \(m=\dfrac{13}{19}\)