Simultaneous Equations involving One Linear Equation and One Non-Linear Equation

A linear equation

An equation which has a power of 1 for each variable

A non-linear equation

An equation which has at least one variable whose power is not 1

The methods used to solve simultaneous equations

Elimination, substitution or graphical representation methods

Graph of linear equation

A linear equation forms a straight line on the graph

Graph of non-linear equations

A non-linear equation forms a curve on the graph

General form of linear equation

y=mx+c

General form of non-linear equation

Step 1 of substitution method

Make x the subject of the formula

Step 2 of substitution method

Plug in the value of x into the second equation.

Step 4 substitution method

Solve the quadratic equation by factorisation, formula or completing the square and substitute y into second equation