Student 1 solved the equation correctly. They correctly distributed the fraction, giving us by = x - a. They then isolated the variable by subtracting x from both sides, resulting in by - x = a.
Student 2 and Student 3 solved the equation incorrectly. In both cases, they incorrectly distributed the fraction, resulting in y/b - x = -a and -by + x = a, respectively. In both cases, they did not distribute the negative sign correctly, leading to incorrect equations.
students were asked to solve the equation y= x-a/b for a their work is shown below
student 1: y= x-a/b
by=x-a
by-x=a
student 2:
y= x-a/b
y/b= x-a
y/b-x=-a
-y/b+x=a
students 3:
y= x-a/b
by = x-a
by - x =-a
-by + x =a
which student solved the equation correctly justify you answer by explaining why the other two students solved the equation incorrectly
1 answer
1 answer