Solve the equation for x: 2x+b=c
check this process:
Step 1: 2x+b-b=c-b
Step 2: 2x=c-b
step 3: 2x-2=c-b-2
Step 4: x=c/2-B-2
Check all of the choices that are true statements
A. There is no error in the process
B. The process has an error from step 1 to step 2
C.the process has an error from step 2 to step 3
D. The process has an error from step 3 to step 4
The correct answer is D.
The process has an error from step 3 to step 4.
The correct step 4 should be: x=(c-b-2)/2.
The correct answer is D. The process has an error from step 3 to step 4.
In step 3, it should be:
2x - 2 = c - b - 2
However, in step 4, you wrote:
x = c/2 - B - 2
The variable "B" should be "b" (in lowercase) since it was used as the coefficient for x in the original equation.
The process has an error from step 3 to step 4.
Let's go through each step and see where the error occurs:
Step 1: 2x + b - b = c - b (correct)
Step 2: 2x = c - b (correct)
Step 3: 2x - 2 = c - b - 2 (correct)
The error occurs in step 4:
Step 4: x = c/2 - B - 2 (incorrect)
In step 4, it seems like a mistake was made when substituting for "x". Instead of replacing "2x" with "x", the equation should be:
2x - 2 = c - b - 2
Simplify the equation:
2x = c - b
Divide both sides by 2:
x = (c - b)/2
So, the correct equation is x = (c - b)/2.
Therefore, the correct answer is D. The process has an error from step 3 to step 4.