Question

if m=4x-3/x-2 and n=1/x-2 then what is m in terms of n?​

Answer 1

m = 4 + 5n

1. We start with writing x in terms on n to substitute in the equation of m.
2. We get that as x = $\frac{1}{n} + 2$
3. Now substituting the value of x in m = $\frac{4x - 3}{x -2}$

m = $\frac{4(\frac{1}{n} +2) - 3}{\frac{1}{n} + 2 - 2}$

m = {tex}\frac{\frac{4}{n} +8 - 3}{\frac{1}{n} + 2 - 2}[\tex]

m = $\frac{\frac{4}{n} + 5}{\frac{1}{n} }$

m = $\frac{4 + 5n}{1} }$

m = 4 + 5n