Find the solution set of the two equations and .
This pair of equations can be solved by substitution. Rearranging the first order equation gives
Multiplying the second equation by to eliminate each denominator gives
Substituting the expression for into this second order equation gives
Expanding the brackets and simplifying the result gives
Dividing each coefficient by 52 gives
This equation can be solved by factorisation.
Now substitute each value of into the first order equation to find .
Therefore the solution set is .