Simultaneous Equations (Cambridge (CIE) O Level Additional Maths): Exam Questions

Solve the simultaneous equations

${10}^{x+2y}=5$,

${10}^{3x+4y}=50$ ,

giving $x$ and $y$ in exact simplified form.

Solve $2x^{\frac{2}{3}}-x^{\frac{1}{3}}-10=0$.

Find the coordinates of the points of intersection of the curve $x^2+xy=9$ and the line $y=\frac{2}{3}x-2$.

Solve the simultaneous equations.

${\log }_3\left(x+y\right)=2$

$2{\log }_3\left(x+1\right)={\log }_3\left(y+2\right)$

Solve the simultaneous equations.

$x^2+3xy=4$

$2x+5y=4$

Solve the following simultaneous equations.

$3^x\times 9^{y-1}=243$

$8\times 2^{y-\frac{1}{2}}=\frac{2^{2x+1}}{4\sqrt{2}}$