128k views
1 vote
3(X + 8) - 1 = 3x+4

How many solutions for x does the following equation have

OA.
4
OB.
0
OC.
1
OD.
infinite

3(X + 8) - 1 = 3x+4 How many solutions for x does the following equation have OA. 4 OB-example-1

2 Answers

4 votes

Answer:


3(x + 8) - 1 = 3x + 4 \\ 3x + 24 - 1 = 3x + 4 \\ 3x + 24 - 4 - 1 = 3x \\ 3x + 19 = 3x \\ 3x - 3x = 19 \\ 0 = 19

Explanation:

b) 0

User Scottdavidwalker
by
5.4k points
5 votes

The equation we are working with is 3(x + 8) - 1 = 3x + 4.

In order to determine the number of solutions to the equation, we first need to simplify. We can distribute the 3 in the term 3(x + 8) on the left hand side of the equation to get 3x + 24 -1. Now our equation looks like this:
3x + 24 - 1 = 3x + 4

We can further simplify 24 - 1 on the left hand side to get 23, so the equation is:
3x + 23 = 3x + 4

Once we have the simplified equation, we can take the term 3x from both sides to see if the x variable can be solved. However, we end up with:
23=4

Clearly, 23 does not equal to 4. This equation has no solution, our result is 0. So, the correct option is OB. 0.

Answer: B. 0

User Sameet
by
5.2k points