4.1 Homework 19.11.14

To be done in the front of your books neatly for Tue 25th Nov. 26 Marks

1. Simplify
   1. \[\frac{a}{5}+\frac{b}{25}\]
   2. \[\frac{2}{x}-\frac{5}{x^2}\]
   3. \[\frac{1}{5+x}+\frac{2}{3+x}\]
   4. \[\frac{24x^2y}{5z}\times \frac{75z^3}{96(xy)^2}\]
   5. \[\frac{39a^2b^3c}{24xyz}\div \frac{26ab^2c^4}{96x(yz)^3}\]

   [15 marks]

2. Simplify \[\frac{3x}{x^2-9}-\frac{5}{x^2-x-6}\]

   [4 marks]

3. Prove that if $p$ and $q$ are odd numbers their product is odd

   [3 marks]

4. Solve \[ \begin{align*} 3&x+4y=-19 \\ -5&x+6y=38 \end{align*} \]

   [3 marks]