Question

Find x if the perimeter is 23.

Answer 1

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!

Answer 2

`\\ \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`