<em><u>The system of equations that represents this situation are:</u></em>
q + p = 2
4q + 5p = 8
<em><u>Solution:</u></em>
Let q be the number of hours it took Courtney to walk from her house to the beach
Let p be the number of hours it took her to walk from the beach to the park
<em><u>The entire walk took 2 hours</u></em>
Therefore,
q + p = 2 ------- eqn 1
<em><u>The total distance Courtney walked was 8 kilometers</u></em>
Total distance = 8 km
Courtney walked from her house to the beach at a constant speed of 4 kilometers per hour
Then walked from the beach to the park at a constant speed of 5 kilometers per hour
<em><u>Distance is given as:</u></em>

<em><u>From her house to the beach:</u></em>

<em><u>From the beach to the park:</u></em>

We know that,
Total distance = 8 km
Therefore,
4q + 5p = 8 ------ eqn 2
<em><u>Thus the system of equations that represents this situation are:</u></em>
q + p = 2
4q + 5p = 8
I believe it is ; for the number
Answer:
5x-5
Step-by-step explanation:
hope this helped!
Answer:
4. -4
5. -2
6. -3
Step-by-step explanation:
4. -12 = 5r + 8
Subtract 8 from both sides;
-20 = 5r
Divide both sides by 5;
-4 = r OR r = -4
5. -6p - 3 = 9
Add 3 to both sides;
-6p = 12
Divide both sides by -6
p = -2
6. -14 = 4x - 2
Add 2 to both sides;
-12 = 4x
Divide both sides by 4;
-3 = x OR x = -3