A student solved an equation as shown below:

1/4(8-12x) = x-2(2x+1)
2-3x = x-4x+2
2-3x = -3x + 2
2-3x+3x = -3x+3x+2
2 = 2
Based on the student's work, complete the statement below.

Use the drop-down menus to make the statement below true.

The student solved the equation Query 1
because the original equation has Query 2
.

1 answer

The student solved the equation correctly because the original equation has infinitely many solutions.

This is because the final step resulted in a true statement (2 = 2), indicating that any value for \( x \) would satisfy the equation.

Similar Questions
  1. A student solved an equation, as shown1/4 (8 - 12x) = x -2(2x+1) 2 - 3x = x - 4x + 2 2 - 3x = -3x + 2 2 - 3x + 3x = -3x + 3x + 2
    1. answers icon 1 answer
    1. answers icon 1 answer
  2. A student solved an equation, as shown below1/4(8-12x) =x-2(2x+1) 2-3x = x-4x+2 2-3x=-3x+2 2-3x+3x = -3x+3x+2 2=2 Based on the
    1. answers icon 1 answer
  3. A student solved the following equation using the following steps:2(2x + 2) = 4(x + 4) 4x + 4 = 4x + 4 4 = 4 Infinite solutions
    1. answers icon 1 answer
more similar questions