Multiple choice

The equations $2x - 3y + 5 = 0$ and $6y - 4x = 10$, when solved simultaneously has

  1. Only one solution

  2. No solution

  3. Only two solutions

  4. Infinite number of solutions

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Equation 1: 2x - 3y = -5. Equation 2: -4x + 6y = 10, which simplifies to 2x - 3y = -5. Since both equations are identical, there are infinite solutions.

AI explanation

Rearranging the second equation gives -4x + 6y = 10, which simplifies by dividing by -2 to 2x - 3y = -5. This is identical to the first equation multiplied by -1, meaning the two equations represent the same line. Therefore, the system has an infinite number of solutions.