Question

I do not understand this question and it will be kind if you help a kid in need

Answer 1

Answer:

x = $\frac{mn(q-p)}{n-m}$

Step-by-step explanation:

collect the fractional terms on the left side of the equation and other terms on the right side

subtract $\frac{x-n}{n}$ from both sides

$\frac{x-m}{m}$ - $\frac{x-n}{n}$ + p = q

subtract p from both sides

$\frac{x-m}{m}$ - $\frac{x-n}{n}$ = q - p

We require the fractions to have a common denominator of mn

multiply the numerator/denominator of the first fraction by n and the numerator/denominator of the second fraction by m

$\frac{n(x-m)}{mn}$ - $\frac{m(x-n)}{mn}$ = q - p

distribute and simplify the numerators of the fractions

$\frac{nx-nm-mx+mn}{mn}$ = q - p

$\frac{nx-mx}{mn}$ = q - p

factor out x from each term on the numerator

$\frac{x(n-m)}{mn}$ = q - p

multiply both sides by mn

x(n - m) = mn(q - p)

divide both sides by (n - m)

x = $\frac{mn(q-p)}{n-m}$ → n ≠ m