Question
Download Solution PDFIf 4x/3 + [3(7x – 5/8)]/5 = 19/60, then what is the value of x?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
(4x/3) + [3(7x – 5/8)]/5 = 19/60
Formula used:
Simplify brackets and fractions, then solve the linear equation.
Calculation:
Expand the bracket
3(7x − 5/8) = 21x − 15/8
Now equation becomes:
(4x/3) + (21x − 15/8)/5 = 19/60
(4x/3) + (21x/5 − 15/(8×5)) = 19/60
⇒ (4x/3) + (21x/5) − (15/40) = 19/60
⇒ (4x/3) + (21x/5) = 19/60 + 15/40
LCM of 60 and 40 = 120
⇒ RHS = (19 × 2 + 15 × 3)/120 = (38 + 45)/120 = 83/120
LCM of 3 and 5 = 15
(4x/3 + 21x/5) = (20x + 63x)/15 = 83x/15
Now equation:
83x/15 = 83/120
⇒ x = (83/120) × (15/83) = 15/120 = 1/8
∴ The value of x is 1/8
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