Question

tle="y = \frac{1}{2} + \frac{w}{3} " alt="y = \frac{1}{2} + \frac{w}{3} " align="absmiddle" class="latex-formula">
express w in terms of y ​

Answer 1

Answer:  $\bold{w=\dfrac{6y-3}{2}}$

Step-by-step 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

$y=\dfrac{1}{2}+\dfrac{w}{3}\\\\\\6\bigg[y=\dfrac{1}{2}+\dfrac{w}{3}\bigg]\quad \implies \quad 6y=3+2w\\\\\\6y-3=3-3+2w\quad \implies \quad 6y-3=2w\\\\\\\dfrac{6y-3}{2}=\dfrac{2w}{2}\quad \implies \quad \large\boxed{\dfrac{6y-3}{2}=w}$