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      Question

      For what value of m will the system of equations

      17x+my+102=0 and 23x+299y+138=0 have infinite number of solutions?
      A 221 Correct Answer Incorrect Answer
      B 223 Correct Answer Incorrect Answer
      C 220 Correct Answer Incorrect Answer
      D 219 Correct Answer Incorrect Answer

      Solution

      We know that, => [a1/a2Β  = b1/b2 = c1/c2] => 17/23 = m/299 = 102/138 => 17/23 = m/299 => if we solve we get => m = 17 Γ— 13 = 221

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