Eor each equation, determine whether it represents a direct variation, an inverse variation, or neither. Find the constant of variation when one exists and write it in simplest form. \( -3 x+\delta y=-1 \) Constant of variation: \( k=\square \) Dinverse variation Constant of variation: \( k=\square \)

d the exact value of the solution to the equation \( 2 e^{2 x}-7 e^{x}-4=0 \)

2imalify \( \frac{x^{2}-y^{2}}{x^{2} x y} \) \( \frac{y+2 x-3 y}{3 x-2 y}=4 \), evaluate \( 2 x y \) If \( z=\sqrt{x^{2}-y^{2}} \), express \( x \) interm 9 \( y \) and 2

\( \therefore \sqrt { x } ( x ^ { \frac { 5 } { 2 } } + x ^ { 2 } + 5 ) \)

Question 8 ( 3 marks) What is the equation of the line that passes through the points \( (1,6) \) and \( (3,2) \) ? \( y=\square x+\square \)

November 2018 ZIMSEC Paper 1 Solve the following simultancous equations: \[ \begin{array}{l}e^{2 x+y}=1 \\ 4 x-3 y=10\end{array} \]