Answer: 10 and -4
Step-by-step explanation:
3x - 2 Plug in 4 for x
3(4) - 2 = 12 - 2 = 10
5x + 6. Plug in -2 for x
5(-2) + 6 = -10 + 6 = -4
5y + 7 < = -3
5y < = -3 - 7
5y < = -10
y < = -10/5
y < = -2
3y - 2 > = 13
3y > = 13 + 2
3y > = 15
y > = 15/3
y > = 5
Answer:
Allison worked 6 hours lifeguarding and 3 hours washing cars.
Step-by-step explanation:
Let
Number of hours Allison worked lifeguarding last week = x
Number of hours Allison worked washing cars last week = y
1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then

<u>Lifeguarding:</u>
$12 per hour
$12x in x hours.
<u>Washing cars:</u>
$8 pere hour
$8y in y hours.
2. Allison earned a total of $96, hence

You get the system of two equations:

Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.