1

How to isolate $x$ in this equation: $px+(\frac{b}{a})px=m$

Blockquote

And get $\frac{a}{a+b}*\frac{m}{p}$

imranfat
  • 10,029
Martin
  • 21

2 Answers2

2

$$px+\left(\frac{b}{a}\right)px=m$$ $$\left(1+\frac{b}{a}\right)px=m$$ $$px=\frac{m}{1+\frac{b}{a}}=\frac{am}{a+b}$$ $$x=\frac{am}{p(a+b)}$$

Eleven-Eleven
  • 8,806
1

Notice that $p$ and $x$ are two common factors of the two terms of the sum so we can factor: $$px+\frac b a px=p\left(1+\frac b a\right)x=p\frac{a+b}ax$$ Can you take it from here?