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Working with linear equations and inequationsSolving equations and inequations

As with other equations and inequations, when working with algebraic equations and inequations it is key to change operation when you change side.

Part of MathsAlgebraic skills

Solving equations and inequations

Watch this video to learn about working with inequations.

Remember when solving equations and to use the rule:

Change side, change operation

Look at the National 4 solving equations section before continuing.

Example

Solve the equation \(- 2 - 3y = 11\)

Answer

\(- 2 - 3y = 11\)

\(- 3y = 11 + 2\)

Move the -2 over to the right hand side changes it to +2

-3 is multiplying on the left, so when moved to the right it divides

\(- 3y = 13\)

\(y = \frac{{13}}{{ - 3}}\,or\,y = - 4\frac{1}{3}\)

Now try the question below.

Question

Solve the equation \(35 = 5 - 6m\) to find m.