Solve for w. 3/4w=5=1/2w+9

[jay.bird]

(EDITED) Solve for w. 3/4w+5=1/2w+9

Solve for w.

3/4w+5=1/2w+9

Please show how you worked it out please, thanks!

 

[mmm4444bot]

Solve for w.

3/4w = 5 = 1/2w+9

An equation has only one equal sign. Please check your typing. What you have posted has no solution.

Also, following Order of Operations, your typing means this:

\(\displaystyle \dfrac{3}{4} \cdot w = 5 = \dfrac{1}{2} \cdot w + 9\)

If, instead, you meant either \(\displaystyle \frac{3}{4w}\) or \(\displaystyle \frac{1}{2w}+9\) or \(\displaystyle \frac{1}{2w+9}\), then you need to use grouping symbols to show what's in those denominators, like this:

3/(4x) or 1/(2w) + 9 or 1/(2w + 9), respectfully. :cool:

 

[crybloodwing]

Steps to Answer

I'm assuming you mean this:

(3/4)w + 5 = (1/2)w + 9

First, move the term on one side with the w over to the same side as the other. Either side is okay. (I moved the term from the right-hand side over to the left-hand side. Do the same thing, for the rest to make sense.)

Move the 5 from the left-hand side over to the right-hand side with the 9. (To do this, subtract 5 from both sides of the equation.)

Then make the fractions in front of the w have the same numerator(bottom). To get a denominator of 4 for the second fraction on the left-hand side, you multiple 2 by 2. So multiply the whole fraction by 2/2.

Subtract the terms (that is, combine the "like" terms, being those) with the w's.

Then multiply both sides of the equation by 4 to clear the denominator and get a whole-number value for w.

If you get stuck, please write back, showing how far you got in following the instructions. Thanks.