Question

I need to show work...

Answer 1

118

Explanation:

AD = BD

5x - 11 = 3x + 17

Move the constants to the one side

5x - 11 = 3x + 17

+ 11 + 11

5x = 3x + 28

Move the constants to the other side

5x = 3x + 28

- 3x -3x

2x = 28

Divide both sides by 2

2x/2 = 28/2

x = 14

Let's move back to the original equations

Substitute x with 14

5(14) - 11

3(14) + 17

Use Order of Operations

5(14) - 11 = 59

3(14) + 17 = 59

Add up both answers

59 + 59 = 118

Answer 2

Explanation:

`5x - 11 = 3x + 17 \\ 5x - 3x = 11 + 17 \\ 2x = 28 \\ (2x)/(2) = (28)/(2) \\ x = 14`

NOW LET'S FIND THE VALUE OF AB

`ab = 5x - 11 + 3x + 17 \\ \: \: \: \: \: \: \: = 8x + 6 \\ \: \: \: \: \: \: \: = 8 * </strong><strong>1</strong><strong>4</strong><strong> + 6 \\ \: \: \: \: \: \: \: = </strong><strong>1</strong><strong>1</strong><strong>2</strong><strong> + 6 \\ \: \: \: \: \: \: \: = </strong><strong>1</strong><strong>1</strong><strong>8</strong><strong>`