Types of Roots of Quadratic Equations

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

3.2

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

\(\blacksquare\) A linear equation is an equation which has a power of \(1\) for each variable.

For example,

\(3x+7y=81\).

\(\blacksquare\) A non-linear equation is an equation which has at least one variable whose power is not \(1\).

For example,

\(4x^2+5y^2=90\)

and

\(\dfrac{1}{x}+\dfrac{2}{y}=15\).

\(\blacksquare\) Solving simultaneous equations means finding the values of variables that satisfy those equations.

\(\blacksquare\) The methods used to solve simultaneous equations are elimination, substitution or graphical representation methods.