Rearrange the formula to make 'y' the subject: x = (1 - 2y)/(3 +4y)

Ok so we need to get 'y' by itself on the left hand side of equal sign. We will first try to remove the denominator by multiplying 'x' by (3+4y). This gives (3+4y)x = 1 - 2y.

We will then expand the brackets so we can get a sum of the single terms i.e this gives 3x + 4yx = 1 - 2y.

We will now gather all terms with 'y'  on the left hand side of the equal sign. This gives 4yx + 2y = 1 - 3x.

Now we factorise to get a single 'y' term, this gives (4x +2)y= 1 - 3x.

We finally try to get 'y' on its own by divinding both sides of the equal sign by (4x +2). This therefore gives us y = (1-3x)/ (4x +2) which is our final answer!

Wajiha I. A Level Maths tutor, GCSE Maths tutor

1 year ago

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