Use the substitution method to solve the system of equations. Choose the correct ordered pair.
2 answers:
Answer: The correct option is (A) (2, 6).
Step-by-step explanation: We are given to use the substitution method to solve the following system of equations :
Substituting the value of y from equation (ii) in equation (i), we get
Again, from equation (ii), we get
Thus, the required solution of the given system of equations is (x, y) = (2, 6).
Option (A) is CORRECT.
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Answer:
a) t = 4000/v
b) t = 4000/(v + 20)
c) see attached workings
Step-by-step explanation:
a) A man jogs 4 km everyday at an average speed of v m/min
As the speed is measured in <u>meters per minute</u>, we need to convert the distance (4 km) into meters:
1 km = 1000 m
⇒ 4 km = 4 x 1000 = 4000 m
distance = speed x time
⇒ time = distance / speed
⇒ t = 4000/v (where t = time in minutes)
b) If his average speed increased by 20 m/min, then his speed would now be (v + 20) m/min
⇒ t = 4000/(v + 20) (where t = time in minutes)
c) Given the man would take 3 min less if his average speed increased by 20 m/min, we can rewrite the second equation as:
t - 3 = 4000/(v + 20)
Now simply substitute the first equation t = 4000/v into the second:
(I have typed this used MS Word and attached, as the equation editor here in Brainly is not working at the moment).
