`(r-3)/(10)` = `(r)/(14)`
(r-3)/10 = r/14
14(r-3) = 10(r)
14r-42 = 10r
14r-10r = 42
4r = 42
r = 42/4
r = 10.5
To solve this problem it is helpful to cross-multiply.
` ` = ` ` Notice in the problem, the (r-3) and the 14 are diagonal to each other. Therefore, they can be multiplied. The same happens to the r and the 10. Thus:
14 *(r-3)= 14r-42
r*10=10r. After you get these answers, the result is:
10r=14r-42. Then, you subtract the 10r on both sides to get:
4r-42=0 Move the 42 to the other side.
r=10.5 This is the final answer. Hope this helped!
`(r-3)/10 = r/14 `
Multiply both sides by 10 to get rid of the fraction:
`(r-3) = (10r)/14 `
Then multiply by 14 on both sides to get rid of the other faction:
`14(r-3) = 10r `
Distribute the 14:
`14r-42 = 10r `
Now move the like terms to the same side by subtracting 14r
`-42 = 10r - 14r `
`-4r = -42`
Divide by -4 to get r alone:
`r = -42/-4`
r = 10.5
Lets see if i can describe the process as well as the actual answer. I agree with the answer above, but i'll describe how to do it. First, you can see that this is a cross multiplication problem. Whenever a fraction = another fraction, you can cross multiply. By this, i mean that the numerator of one fraction can be multiplied by the denominator of the other fraction. So in this case, would be . This can be simplified to `10r = 14r-42` . Subtract from both sides. This leaves us with `-4r = -42` . We now can divide both sides by -4 to get "R" by itself. If you divide "-42" by "-4", you get `10.5` which can also be represented as the fraction `(21)/(2)` . Hope this Helps.