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.
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.