Simultaneous Equations (Cambridge International IGCSE Further Maths): Exam Questions

The line $y=5x+6$ meets the curve $xy=8$ at the points $A$ and $B$. Find the coordinates of $A$ and of $B$.

Solve the simultaneous equations.

$log_{3} ( x + y ) = 2$

$2 log_{3} ( x + 1 ) = log_{3} ( y + 2 )$

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.

$x^{2}+3xy=4$

$2x+5y=4$

Find the coordinates of the points of intersection of the curves $x^{2}=5y-1$ and $y=x^{2}-2x+1$.

Solve the following simultaneous equations.

$3^{x}\times9^{y-1}=243$

$8\times2^{y-\frac{1}{2}}=\frac{2^{2x+1}}{4\sqrt{2}}$