已知4a-b/a+3b=2/3, 求a/b

问题描述:

已知4a-b/a+3b=2/3, 求a/b


∵4a-b/a+3b
∴2(a+3b)=3(4a-b)
2a+6b=12a-3b
10a=9b
∴a/b=9/10

(4a-b)/(a+3b)=2/3
2(a+3b)=3(4a-b)
2a+6b=12a-3b
10a=9b
a/b=9/10

4a-b/a+3b=2/3
2(a+3b)=3(4a-b)
2a+6b=12a-3b
10a=9b
a=b*9/10
a/b=b*9/10÷b=9/10