(x/3 - 2/5)÷(3/4 - 2x)=16/15
Please find the value of x and verify it also by showing L.H.S and R.H.S
Answers
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Answer:
18/37
Step-by-step explanation:
(x/3-2/5) / (3/4-2x)
=> {(5x-6)/15} / {(3-8x)/4} = 16/15
=> {(5x-6)/15} * {4/(3-8x)} = 16/15
=> (5x-6) / (3-8x) = (16/15) * (15/4)
=> (5x-6) / (3-8x) = 4
=> 5x-6 = 12-32x
=> 32x+5x = 12+6
=> 37x = 18
=> x = 18/37
Verification:
L.H.S. = (x/3-2/5) / (3/4-2x)
= (18/37/3-2/5) / {3/4-2*(18/37)
= {(18/37)*(1/3)-2/5} / (3/4-36/37)
= (6/37-2/5) / (3/4-36/37)
= {(30-74)/185} / {(111-144)/148}
= {(-44)/185} / {(-33)/148}
= {(-44)/185} * {148/(-33)
= 16/15
= R.H.S.
So, x = 18/37 is true.
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