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For what value of k the following has no solutions 2x+3y=5,6x+ky=15 |
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Answer» But 2/6=1/3 and 5/15= 1/3So their solutions with infinite solution or unique solution We have two Equations: 2x +3y= 5 6x +ky= 15For No Solution, We have: a1/a2 = b1/b2 ≠ c1/c2Here, a1 = 2 , a2 = 6 , c2 = 15 , c1 =5 & b1 = 3 , b2 = kSubstitute given values in Formula: a1/a2 = b1/b2 ≠ c1/c2→ 2/6 = 3/k ≠ 5/15→ 2/6 = 3/k→ 18 = 2k→ k = 18/2→ k = 9Therefore, Value of k is 9. |
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