Question

Solve for w.
-9/7=-2/3w-1/2

Answer 1

`\sf w=(33)/(28) \\`

Explanation:

`\sf -(9)/(7) =-(2w)/(3) -(1)/(2)`

First, take -2w/3 to the left side.

`\sf -(9)/(7)+(2w)/(3) = -(1)/(2)`

Then, add 9/7 to both sides.

`\sf (2w)/(3) = -(1)/(2)+(9)/(7)`

Make the denominators the same and add the fractions.

`\sf (2w)/(3) = -(1*7)/(2*7)+(9*2)/(7*2)\\\\\sf (2w)/(3) = -(7)/(14)+(18)/(14)\\\\\sf (2w)/(3) = (-7+18)/(14)\\\\\sf (2w)/(3) = (11)/(14)`

Use cross multiplication.

`\sf 2w*14=11*3\\\\28w=33`

Divide both sides by 28.

`\sf w=(33)/(28) \\`

Answer 2

Answer:
`w=(33)/(28)`

Explanation:

To solve for w, we want to isolate w.

`-(9)/(7)=-(2)/(3)w-(1)/(2)` [add both sides by 1/2]

`-(11)/(14)=-(2)/(3)w` [multiply both sides by -3/2]

`w=(33)/(28)`

Now we know that
`w=(33)/(28)`.