Multiple choice

For what value of $k$, the system of equations $kx + my = 2$ and $3x + y = 1$ will be coincident?

  1. $2$
  2. $3$
  3. $5$
  4. $6$
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D Correct answer
Explanation

For two linear equations to be coincident, their coefficients must be proportional: k/3 = m/1 = 2/1. This implies k/3 = 2, so k = 6.

AI explanation

For the system of equations to be coincident, the ratios of their corresponding coefficients must be equal, meaning k divided by 3 equals m divided by 1 equals 2 divided by 1. Solving the proportion k over 3 equals 2 gives k equals 6. The value of k is 6.

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