Secondary A.Maths | Brainmasters Learning Studio

Simultaneous

Equations

Secondary A.Maths

Linear

Linear & Non-linear

What you'll learn:

You can differentiate the difference between a Linear and a Non-Linear just by the power of the equation.

A linear equation is referred to a straight line with x to the power of 1 or can be given as y = mx + c, a straight line equation.

On the other hand, a non-linear equation will be given in an equation of a curve

(x to the power of 2) or in a cubic equations (x to the power of 3).

Linear - Linear Simultaneous Equations

When two linear equations intersect each other, it will only have one solution.

Linear - Non-Linear Simultaneous Equations

A linear - non-linear intersection is when a straight line intersect a curve.

1 or 2 solutions can be found when solving simultaneous equation.

1 solution - Straight line is TANGENT to the curve

2 solutions - Straight line cuts the curve at 2 DISTINCTIVE points

1 Solution

2 Solutions

Non-Linear - Non-Linear Simultaneous Equations

A non-linear - non-linear intersection is when a 2 curves intersect each other.

1 or 2 solutions can be found when solving simultaneous equation.

1 Solution

2 Solutions

There are 2 methods when solving simultaneous equations.

The easiest and the most common method is by substitution method.

Make one of the algebra as one of the subjects to be substituted into the other equation.

Watch the video to know the difference!