Inline Dropdown Question

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
The first line shows 1 over 4 left Parenthesis 8 minus 12x right parenthesis equals x minus 2 left parenthesis 2x plus 1 right parenthesis, second line shows 2 minus 3x equals x minus 4x plus 2, third line shows 2 minus 3x equals 3x plus 2, fourth line shows 2 minus 3x plus 3x equals negative 3x plus 3x plus 2. Fifth line shows 2 equals 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 responses
correctly
incorrectly

2 responses
no solution
one solution
infinitely many solutions

1 answer

Based on the student's work, the correct statements would be:

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