{"id":152546,"date":"2023-07-26T14:52:07","date_gmt":"2023-07-26T09:22:07","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=152546"},"modified":"2023-07-26T14:52:08","modified_gmt":"2023-07-26T09:22:08","slug":"if-2x-3y-30-and-xy-y-11-8-then-find-the-value-of-5y-6x","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/if-2x-3y-30-and-xy-y-11-8-then-find-the-value-of-5y-6x\/","title":{"rendered":"If 2x +3y = 30 and (x+y)\/y = 11\/8, then find the value of 5y + 6x"},"content":{"rendered":"\n<figure class=\"wp-block-table\"><table><tbody><tr><td>Question<\/td><td colspan=\"2\">If 2x +3y = 30 and (x+y)\/y = 11\/8, then find the value of 5y + 6x<\/td><\/tr><tr><td>Type<\/td><td colspan=\"2\">multiple_choice<\/td><\/tr><tr><td>Option<\/td><td>72<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>58<\/td><td>correct<\/td><\/tr><tr><td>Option<\/td><td>64<\/td><td>incorrect<\/td><\/tr><tr><td>Option<\/td><td>29<\/td><td>incorrect<\/td><\/tr><tr><td>Solution<\/td><td colspan=\"2\">The given equations are :<br><br>2x + 3y = 30 &#8212;&#8212;&#8212; (i)<br>and, (x+y)\/y = 11\/8<br>8x + 8y = 11y<br>8x \u2013 3y =0 &#8212;-(ii)<br><br>Adding (i) &amp; (ii), we get : 10 x = 30 or x = 3.<br><br>Put x = 3 in (i), we get : y = 8<br>Therefore, 5y + 6x = (5 * 8 + 6 * 3) = 40 + 18 = 58.<\/td><\/tr><\/tbody><\/table><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>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 &#8212;&#8212;&#8212; (i)and, (x+y)\/y = 11\/88x + 8y = 11y8x \u2013 3y =0 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