If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x
| Question | If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x | |
| Type | multiple_choice | |
| Option | 72 | incorrect |
| Option | 58 | correct |
| Option | 64 | incorrect |
| Option | 29 | incorrect |
| Solution | 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. | |