Determine the solution set of the two equations and rounding the result to the nearest two decimal places if needed.
This pair of equations can be solved by substitution. The first order equation can be rearranged to give
Substituting into the second order equation gives
Expanding the brackets and simplifying the result gives
This equation can be solved by factorisation.
Now substitute these values of into the first order equation to find . When ,
Therefore, the solution set, rounded to the required two decimal places, is .