Find the ratio between a:b for each problem

1.) 2a=9b

2.) 6a-3b=5b

3.) a+b=3b

4.) a/5=b/7

1. 2a=9b first we will divide the both sides with parameter b and get

2 (a/b) = 9 now we will divide both sides with number 2 and get

a/b=9/2 = > a : b = 9 : 2

2. 6a-3b=5b first we will add to both sides number (+3) and get

6a=5b+3b = > 6a=8b then divide the both sides with parameter b and get

6 (a/b) = 8 now we will divide the both sides with number 6 and get

a/b=8/6 if we simplify the fraction we get

a/b=4/3 = > a : b = 4 : 3

3. a+b=3b we will add to the both sides parameter (-b) and get

a=3b-b = > a=2b then divide the both sides with parameter b and get

a/b=2 = > a/b=2/1 = > a : b = 2 : 1

4. a/5=b/7 first we will divide the both sides with paremeter b and get

a / (5b) = 1/7 now we will multiply the both sides with number 5 and get

a/b=5/7 = > a : b = 5 : 7

Good luck!