Review question

# Can we solve these equations for $a, b, x$ and $y$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6871

## Question

Find all values of $a$, $b$, $x$ and $y$ that satisfy \begin{align*} a+b &= 1 \\ ax+by &= \frac{1}{3} \\ ax^2+by^2 &= \frac{1}{5} \\ ax^3+by^3 &= \frac{1}{7}. \end{align*}

[Hint: you may wish to start by multiplying the second equation by $x+y$.]