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Which of the following is an example of an equation with no solution?(1 point)3x+4=3x+3

3 x plus 4 equals 3 x plus 3
plus 4 equals 3 x plus 4
3x+4=4x+3
3 x 4x+3=3x+3

1 answer

To determine which equation has no solution, we can analyze each option:

  1. 3x + 4 = 3x + 3

    • Subtracting \(3x\) from both sides gives \(4 = 3\), which is false. This equation has no solution.

  2. 3x + 4 = 4

    • Subtracting \(3x\) from both sides gives \(4 = 4 - 3x\). This simplifies to \(3x = 0\), giving the solution \(x = 0\).

  3. 3x + 4 = 4x + 3

    • Rearranging gives \(3x - 4x = 3 - 4\), or \(-x = -1\), leading to the solution \(x = 1\).

  4. 3x + 4 = 3x + 3

    • This is the same as the first equation and has no solution because it simplifies to \(4 = 3\).

Therefore, the equation with no solution is 3x + 4 = 3x + 3.