AlgebraHardConstant that makes a system have infinitely many solutions
Algebra practice question
For what value of k does the system 3x − y = 2 and 6x − 2y = k have infinitely many solutions?
Answer: 4
The second equation is twice the first when k = 2 × 2 = 4; then both describe the same line.
Common wrong answers
- If you answered 0
- 0 gives a parallel line through the origin, with no solution.
- If you answered 2
- 2 keeps the right-hand side unchanged, making the lines parallel with no solution.
- If you answered 8
- 8 multiplies 2 by 4 instead of 2.
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