will82abn wrote:i am having problems with x1 not able or just don't see how to get the fraction at the end here is another problem y+3=3/4(x-2) then the problem begin when you dist the fraction 3/4 through to get 3/4x - 9/2 how to get the 9/2 is my prob.

I find it easier to learn with examples to hand, so I'll lay it out, step by step, and hopefully, you may be able to see the pattern.

Distribute the

through the parentheses:

, taking care with the minus sign.

Clean up:

To isolate the

, so it's on its own, subtract 3 from both sides:

Clean up:

Now, in order to combine the

with the

, both numbers need to be in the form of a fraction with the same denominator (the number on the bottom). The simplest way to do that here is to convert the -3 into a fraction with a denominator of 2. We do that by multiplying it by

; this won't change the value, because any number divided by itself is 1, any number multiplied by 1 remains unchanged:

Clean up:

Now we can combine the two fractions:

If you can't see how

... you can rearrange the fractions like this:

We just need to be careful with the minus signs.

DAiv