(x+13)/2 = 5x/3

Question

Show your steps and state the solution.

Answer 1

Given ^(x+13)/₂ = ^5x/₃

=> 3(x + 13) = 2(5x) let's get rid of fractions (multiply by 6)

=> 3x + 39 = 10x

=> 7x = 39

=> x = 5 ⁴/₇ (or ³⁹/₇ )

double check by substituting in original equation to give

(³⁹/₇ + 13)/2 = 5(³⁹/₇ ) /3

=> 3 (³⁹/₇ + 91/7) = 10 (³⁹/₇ )

=> 117/7 + 273/7 = 390/7

=> 390/7 = 390/7