Answer:
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