a student soved the equation x/+5=1 without showing all the work. the student's solution is incorrect. what error did the student make?
What was the student's solution?
post it.
To figure out the error made by the student, we need to solve the equation and compare it to the student's solution.
The equation given is: x/5 + 1 = 1
To solve this equation, we need to isolate the variable x. Here's the step-by-step solution:
Step 1: Subtract 1 from both sides of the equation:
x/5 = 1 - 1
x/5 = 0
Step 2: Simplify the right side of the equation:
x/5 = 0
Step 3: Multiply both sides of the equation by 5 to eliminate the fraction:
5 * (x/5) = 0 * 5
x = 0
Now let's compare the correct solution (x = 0) with the student's solution, which is x = +5. The student's solution is incorrect because they incorrectly added 5 to both sides of the equation instead of subtracting 1.
Therefore, the error made by the student is adding 5 instead of subtracting 1 in the first step of solving the equation.