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.

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