Question

4. Find the solution to the equation below.
please finish
this
problem

Answer 1

w = 12

Explanation:

We are given the equation:

`\displaystyle{(w-2)/(4) = (2w+1)/(10)}`

First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:

`\displaystyle{(w-2)/(4) \cdot 40= (2w+1)/(10) \cdot 40}`

Simplify the expressions/equations:

`\displaystyle{(w-2)\cdot 10= (2w+1)\cdot 4}\\\\\displaystyle{10w-20= 8w+4}`

Isolate w-variable:

`\displaystyle{10w-20= 8w+4}\\\\\displaystyle{10w-8w=4+20}\\\\\displaystyle{2w=24}\\\\\displaystyle{w=12}`

Hence, the solution is w = 12

If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!