Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

An equation is a statement with an equals sign, stating that two expressions are equal in value, for example: \(3x + 5 = 11\). Solving an equation means finding the value or values for which the two ...

Make sure you are confident in solving one and two-step linear equations and expanding brackets in order to tackle these more complex types of equations. Substitute close substituteIn algebra, to ...

Simultaneous linear equations are used to model situations where two relationships must be satisfied at the same time. These problems often involve two interdependent variables, such as comparing ...

Liouville's formula for certain class of linear operator equations of order n is derived. The result is applied to solving a linear second order operator equation. A number of examples which ...