Solve: | 2x - 2 | = x + 1 Select the appropriate response A) x=3,x=6 B) x=3, x=1/3 C) x=9 Can you help me with this, please?

Question

asked Jul 27, 2021 61.1k views

1 Answer

Barry Pitman · Answer 1 · 2021-07-31T17:30:18+0000

The given expression is
|2 x-2|=x+1

We need to determine the solution to the expression.

Solution:

The absolute value of the expression
|2 x-2|=x+1 is given by

2 x-2=x+1 or
2 x-2=-(x+1)

Let us solve the expression
2 x-2=x+1

Thus, we get;

x-2=1

x=3

Now, solving the expression
2 x-2=-(x+1)

Thus, we get;

2x-2=-x-1

3x-2=-1

3x=1

x=(1)/(3)

Thus, the solution of the expression is
x=3 ,
x=(1)/(3)

Hence, Option B is the correct answer.