In this worksheet, you must rearrange equations so that they are in the form

ax + by = c

where:

a ≥ 0

a and b cannot both be 0

a and b are integers

the HCF of a, b, and c is 1

**Example**

Rearrange the following equation so that it is in the form ax + bx = c

2y = 4x - 12

**Answer**

We use the standard rule of all equations,

DO THE SAME TO BOTH SIDES

**2y = 4x - 12**

*Subtract 4x from both sides, so that the letters are on the left, to get:*

**2y - 4x = -12**

*Multiply both sides by -1 so that the coefficient of x is positive, to get:*

**4x - 2y = 12**

*Divide by the HCF = 2, to get:*

**2x - y = 6**