Simultaneous equationsEdexcel A-Level Maths: Mind map

Exam questions on Simultaneous equations

1. The line $y=x+1$ meets the curve $y=x^2-3x-4$ at two points.
   The line $y=x+c$ is a tangent to the curve $y=x^2-3x-4$. Find the value of $c$.2 marks
2. A rectangle has perimeter 34 cm and its diagonal has length 13 cm. Its sides have lengths $x$ cm and $y$ cm.
   Without solving a quadratic equation, find the area of the rectangle.2 marks
3. Real numbers $x$ and $y$ satisfy $2^{x}\times4^{y}=32$ and $\frac{8^{x}}{2^{y}}=2$.
   Show that $x+2y=5$ and $3x-y=1$.3 marks