3a-5b:3a+5b=1:4 find the value of a and b

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3a-5b:3a+5b=1:4 find the value of a and b

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Allison 2 weeks 2021-09-28T19:32:15+00:00 1 Answer 0

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    2021-09-28T19:33:18+00:00

    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

    ———————–

    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

    I hope this was helpful, Please mark as brainliest  

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