Q. If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x
The given equations are : 2x + 3y = 30 --------- (i) and, (x+y)/y = 11/8 8x + 8y = 11y 8x – 3y =0 ----(ii) Adding (i) & (ii), we get : 10 x = 30 or x = 3. Put x = 3 in (i), we get : y = 8 Therefore, 5y + 6x = (5 × 8 + 6 × 3) = 40 + 18 = 58.
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