Question

How do you solve `7/(a-4)=14/6`?

Answer 1

`a=7`

Explanation:

Simplify the fraction on the right side by dividing numerator/denominator by 2

`rArrcancel(14)^7/cancel(6)^3=7/3`

`rArr7/(a-4)=7/3`

Since the numerators are equal then the denominators must be equal.

`rArra-4=3`

add 4 to both sides.

`acancel(-4)cancel(+4)=3+4`

`rArra=7`

`color(blue)"As a check"`

Substitute this value into the left side and if equal to the right side then it is the solution.

`7/(7-4)=7/3=" right side"`

`rArra=7" is the solution"`