Y = (1)/(2) + (w)/(3) express w in terms of y ​

Question

`y = (1)/(2) + (w)/(3)`
express w in terms of y ​

Answer 1

Answer:
`\bold{w=(6y-3)/(2)}`

Explanation:

Isolate w by performing the following steps

• Multiply by 6 on both sides to clear the denominator
• Subtract 3 from both sides
• Divide both sides by 2

`y=(1)/(2)+(w)/(3)\\\\\\6\bigg[y=(1)/(2)+(w)/(3)\bigg]\quad \implies \quad 6y=3+2w\\\\\\6y-3=3-3+2w\quad \implies \quad 6y-3=2w\\\\\\(6y-3)/(2)=(2w)/(2)\quad \implies \quad \large\boxed{(6y-3)/(2)=w}`