Student 3 solved the equation correctly.
Student 1 made a mistake by incorrectly subtracting "a" from both sides of the equation, resulting in the equation "by - x = a" instead of "by - x = -a".
Student 2 also made a mistake by incorrectly dividing both sides of the equation by "b", resulting in the equation "-yb + x = a" instead of "-yb + x = -a".
Student 3, on the other hand, correctly subtracted "a" from both sides of the equation and obtained the correct equation "-by + x = a".
Students were asked to solve the equation y=x−ab for a. Their work is shown below.
Student 1:
y=x−ab
by=x−a
by−x=a
Student 2:
y=x−ab
yb=x−a
yb−x=−a
−yb+x=a
Student 3:
y=x−ab
by=x−a
by−x=−a
−by+x=a
Which student solved the equation correctly? Justify your answer by explaining why the other two students solved the equation incorrectly.
1 answer
1 answer