Answer:
a = 5/6 , b = -3/10
Step-by-step explanation:
3a-5b:3a+5b=1:4
3a-5b / 3a +5b = 1/4
Cross multiply
3a -5b =4 ..........(1) solve simultaneously
3a + 5b = 1 ..........(2) using elimination method
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Add equation 1 and 2
6a = 5
Divide both sides by 6
6a/6 = 5/6
a =5/6
Put value of a into equation 2
3a +5b = 1
3(5/6) + 5b = 1
5/2 + 5b = 1
5b = 1 - 5/2
5b = - 1½
5b = - 3/2
Divide both sides by 5
5b/ 5 = -3/2 ÷ 5
b = -3/2 × ¹/5
b = - 3/10
Therefore a = 5/6 , b = -3/10
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