Context: I’m trying to convert this from point slope form to slope intercept
This is my thought process I know how to solve this problem without getting rid of the fraction by distributing the 7/5 to (x+2) but I was trying to figure out how to solve it by dividing the equation by the lcm which is 5. My intuition is to 7/5(x-5)(5) and get 7(5x-25) then 35x – 175, but that isn’t the right answer. I have figured out that if I multiply the fraction by 5 and not apply the (5) to the (x+2) then I get 7(x+2) then I can distribute the 7 into x+2. I’m confused as to why I wouldn’t be able to distribute the 5 on the right side (x+2) but I can to (y-4)
In: Mathematics
7/5(x-5)(5) = (7)(x-5)(5)/5
Because 5/5 = 1, this is the same as (7)(x-5)(1), distribute and get 7x-35.
It looks like you may have tried to distribute the 5 to both the (7/5) and the (x-5); remember you don’t distribute across multiplication.
If you give the full equation I could probably help more.
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