The simultaneous equations \(x + 2y = 4\) and \(2x + 4y = 12\) have
A. a unique solution
B. infinitely many solutions
C. no solution
D. exactly two solutions
A. a unique solution
B. infinitely many solutions
C. no solution
D. exactly two solutions
Best answer
Answer: C. no solution
\(D = 1\times4 - 2\times2 = 0\). Dividing the second equation by 2 gives \(x + 2y = 6\), which contradicts \(x + 2y = 4\). The lines are parallel, so there is no solution.
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