19.7k views
2 votes
Find x if the perimeter is 23.

Find x if the perimeter is 23.-example-1
User Ciriarte
by
8.1k points

2 Answers

6 votes

Answer:

x = 3

Explanation:

First, we know that the perimeter in total is 23. So, we need to make sure that all of the sides combined are 23. The equation becomes:

3x - 5 + 2x + 1 + 4x = 23

Let's simplify this.

3x + 2x + 4x - 5 + 1 = 23

Simplify again.

3x + 2x + 4x - 5 + 1 = 23

5x + 4x - 5 + 1 = 23

9x - 5 + 1 = 23

9x - 4 = 23

Now we have the simplified equation of 9x - 4 = 23. Now we must solve for x.

9x - 4 (+ 4) = 23 (+ 4)

9x = 27

9 9

x = 3

Now we can see that x = 3, which should be our answer. To make sure, let's plug it into the equation.

[3(3) - 5] + [2(3) + 1] + [4(3)] = 23

[9 - 5] + [2(3) + 1] + [4(3)] = 23

[9 - 5] + [6 + 1] + [4(3)] = 23

[9 - 5] + [6 + 1] + 12 = 23

4 + [6 + 1] + 12 = 23

4 + 7 + 12 = 23

11 + 12 = 23

23 = 23

As you can see, we got the answer 23 = 23. That indeed means that x = 3. Hope this helps!

3 votes


\\ \sf\longmapsto 4x+3x-5+2x+1=23


\\ \sf\longmapsto 7x+2x-5+1=23


\\ \sf\longmapsto 9x-4=23


\\ \sf\longmapsto 9x=23+4


\\ \sf\longmapsto 9x=27


\\ \sf\longmapsto x=(27)/(9)


\\ \sf\longmapsto x=3

User Tef
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories