Question

How do I simplify:
y-1=2/3(x-4)
The answer is y=2/3x-5/3
I just don't know how to get there.

Thanks

Answer 1

y-1+1= 2/3(x-4)+1
y=2/3(x-4)+1
y=2/3x -2/3 -3
y=2/3x-5/3

Answer 2

How does the 2/3 distribute into the (x-4)? I can't seem to do it

Answer 3

since the x -4 is in parenthesis, u distribute 2/3 into x and also 2/3 into -4

Answer 4

2/3 into -4 is -2.66666

Answer 5

you are just simplifying the problem,,, not trying to figure it out.

Answer 6

I see I guess I dont' get how to simplify it.

Answer 7

y-1= 2/3(x-4)

y=1 + 2/3(x) - 2/3(4)

y=1+2x/3 -8/3

y=2x/3 +1 - 8/3

y= 2x/3 + (3-8)/3

y=2x/3 - 5/3 got that!!!!!!!!!!

Answer 8

got it!
Thanks

Answer 9

when distributing a fraction you can do it two ways: use decimals or use fractions
if you use decimals
2/3 = 0.6666... the 6's go on forever (people put a line over the 6 to show this)
and 0.6666(x-4)= 0.6666*x - 2.6666...

but for these problems it looks nicer to leave everything as a fraction
when you multiply fractions, you multiply top times top and bottom by bottom

if you multiply a fraction times a whole number, assume the whole number is over 1 (its bottom is 1)
\[ \frac{2}{3}(x-4) = \frac{2}{3}\cdot\frac{x}{1} + \frac{2}{3}\cdot \frac{-4}{1} \]
\[ \frac{2x}{3} - \frac{8}{3} \]