Answer:
y = 3
x = 2
Step-by-step explanation:
-5x + 4y = 2
9x - 4y = 6
Sum both eq.
-5x + 9x = 4x
+4y - 4y = 0
2 + 6 = 8
then:
4x + 0 = 8
4x = 8
x = 8/4
x = 2
from the first eq.
-5x + 4y = 2
-5*2 + 4y = 2
-10 + 4y = 2
4y = 2 + 10
4y = 12
y = 12/4
y = 3
Check:
from the second eq.
9x - 4y = 6
9*2 - 4*3 = 6
18 - 12 = 6
Answer:
z<95
Step-by-step explanation:
z/5<19
5×7/5<5×19
z<95
Answer:
C
Step-by-step explanation:
1 gallon = 16 cups
3 gallons = 48 cups if each camper gets one cup of lemonade, it can serve 48 campers.
Taking into account the supplied speeds, Boston is from the destination to:
<h3>
Calculation of the
distance between
Boston and Place of
Destination</h3>
To identify the distance between Boston and the destination of the trains, it must be remembered that the <u>speed</u> mentioned for each one is a reference to the distance traveled per hour, therefore, after each hour, each train will travel :
- Regular train: 60 miles
- Express train: 80 miles
According to the information given, when the express train leaves, the regular train has a 60-mile lead, which is getting shorter hour by hour because the express train travels 20 miles per hour more than the normal train.
Therefore, in <u>three hours</u>, the express train would catch up with the regular train, calculating the distance thanks to the speed formula:
And clearing the distance:
Therefore, the destination would be <u>240 miles</u> from Boston, which would take four hours by regular train and three hours by express train.
If you want to learn more about Mathematics, you can visit the following link: brainly.com/question/24600056