Solve. $$\[ \frac{1}{x+1}+\frac{9}{x+9}=1 \]$$ $$\(x=\)$$ ................ or $$\(x=\)$$ ................

E2.3.1 Manipulate algebraic fractions.

E2.3.2 Factorise and simplify rational expressions.

E2.5.1 Derive and solve linear equations in one unknown

E2.5.2 Derive and solve simultaneous linear equations in two unknowns.

E2.5.3 Derive and solve simultaneous equations, involving one linear and one quadratic.

E2.5.4 Derive and solve quadratic equations by factorisation, completing the square and by use of the formula.

E2.5.5 Derive and solve linear inequalities. (Including representing and interpreting inequalities on a number line.) (Interpretation of results may be required.)