Solving equations and inequations

Remember when solving equations and inequations 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.

35 = 5 - 6m

Move the -6m over to the left hand side, changing it to +6m.

35 + 6m = 5

Move the +35 to become -35

6m = 5 - 35

6m = -30

The 6 is multiplying on the left so now divide

m = \frac{{ - 30}}{6} = \frac{{ - 5}}{1} =  - 5