Food for thought

# Near miss Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

## Problem

Solve the two pairs of simultaneous equations \begin{align*} x + 0.99999y &= 2.99999 \\ 0.99999x + y &= 2.99998 \end{align*} and \begin{align*} x + 1.00001y &= 2.99999 \\ 0.99999x + y &= 2.99998. \end{align*}

Were you surprised by your answers?

Explain why the solutions are so different and yet the pairs of equations are nearly identical.