Multiple choice

Solve the system of equations $\quad x+y+z = 6 \ \quad x+2y+3z = 14 \ \quad x+4y+7z = 30$

  1. unique solution

  2. infinite

  3. no solution

  4. multiple solutions
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The system of equations can be represented by a matrix. Row operations show that the third row is a linear combination of the first two, specifically R3 = 2*R2 - R1, which leads to a consistent system with infinite solutions.

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