Find the ratio a:b, if it is given that 2a−3b/5 = a+b/3 PLS I really need help and the answer was not 15:14

a:b = 14 : 15

Step-by-step explanation:

The equation is 2a−3b/5 = a+b/3

To find the ratio you will find the fraction of a/b. Therefore,

2a−3b/5 = a+b/3

(10a - 3b)/5 = (3a + b)/3

cross multiply

3(10a - 3b) = 5(3a + b)

30a - 9b = 15a + 5b

collect like terms

30a -15a - 9b - 5b = 0

15a - 14b = 0

15a = 14b

divide both sides by b

15a/b = 14

divide both sides by 15

a/b = 14/15

Therefore,

a:b = 14 : 15

i can answer this question sweetie!

step-by-step explanation:

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