Multiple choice

Solve the equation: $5x + 6y = -1$ and $10x + 12y = \dfrac{1}{2}$ and then identify the system of equation.

  1. Consistent

  2. Inconsistent

  3. Dependent

  4. All the above
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

The second equation 10x + 12y = 0.5 can be rewritten as 5x + 6y = 0.25 by dividing by 2. Since 5x + 6y = -1 and 5x + 6y = 0.25 are contradictory, the system is inconsistent.

AI explanation

Multiply the first equation by 2 to get 10x + 12y = -2. Comparing this to the second equation, 10x + 12y = one half, we see the left sides are identical but the right sides are different. Because this creates a mathematical contradiction, the system of equations is inconsistent.

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