Answer:
Rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]
Step-by-step explanation:
We need to rearrange the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject.
[tex]x=\frac{2w+1}{5-3w}\\x(5-3w)=2w+1\\5x-3wx=2w+1\\[/tex]
Subtract 2w on both sides
[tex]5x-3wx-2w=2w+1=2w\\5x-3wx-2w=1\\[/tex]
Subtract 5x on both sides
[tex]5x-3wx-2w-5x=1-5x\\-3wx-2w=1-5x\\[/tex]
Taking w common on left hand side
[tex]w(-3x-2)=1-5x\\[/tex]
Divide both sides by -3x-2
[tex]\frac{w(-3x-2)}{-3x-2} =\frac{1-5x}{-3x-2}\\w=\frac{1-5x}{-3x-2}[/tex]
So, rearranging the expression [tex]x=\frac{2w+1}{5-3w}[/tex] to make w the subject we get [tex]\mathbf{w=\frac{1-5x}{-3x-2} }[/tex]
