What is the value of x in the equation? 7 1 2 x + 3 2 3 = −13 a) −1 5 6 b) −2 1 6 c) −2 2 9 d) −2 5 9

C - 2 2/9

Step-by-step explanation:

7 1 /2 x + 3 2/ 3 = −13

Subtract 3 2/3 from each side

7 1 /2 x + 3 2/ 3 - 3 2/3 = −13 - 3 2/3

7 1/2x = -16 2/3

Change each mixed number to an improper fraction

7 1/2 = (2*7 +1)/2 = 15/2

16 2/3 = (3*16+2)/3 = 50/3

15/2 x = -50/3

Multiply each side by 2/15 to isolate x

2/15 * 15/2 x = -50/3 * 2/15

x = -100/45

Simplify

x = -20/9

Change back to a mixed number

9 goes into 20 2 times with 2 left over

x = -2 2/9