Question

Solve. x-5/3-2-x/5 = 17/15
a. Conditional
b. Identity
c. No Solution

Answer 1

\[\frac{ x-5 }{ 3 }-\frac{ 2-x }{ 5 }=\frac{ 17 }{ 15 }\]

Answer 2

it is not an identity for sure, because the expression on the left is not always equal to \(\frac{17}{5}\)
it does have a solution
do you need it?

Answer 3

yes. I dont know how to start solving it

Answer 4

clear the annoying fractions by multiplying both sides by the least common multiple of the denominators
the least common multiple of 3,5,15 is 15 so start with
\[15\left(\frac{ x-5 }{ 3 }-\frac{ 2-x }{ 5 }\right)=\frac{ 17 }{ 15 }\times 15\]

Answer 5

use parentheses carefully
\[5(x-5)-3(2-x)=17\] then solve as usual

Answer 6

okay thanks :)