3a-5b:3a+5b=1:4 find the value of a and b Question 3a-5b:3a+5b=1:4 find the value of a and b in progress 0 Math Allison 2 weeks 2021-09-28T19:32:15+00:00 2021-09-28T19:32:15+00:00 1 Answer 0

## Answers ( )

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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