A student solved an equation, as shown below.
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 ____
because the original equation has ____
1st Option: incorrectly or correctly
2ed Option: no solution or one solution or infinitely many solutions
.
1 answer
The student solved the equation correctly because the original equation has one solution.