The sum of two numbers is 10. The difference between three times the first number and twice the second number is 20. Find the tw
1 answer:
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Answer:
The Correct Answers are
When (1 ,2) is substituted into the first equation, the equation is true.
When (1 ,2) is substituted into the second equation, the equation is true.
When (1 ,2) is substituted into the second equation, the equation is true.
Step-by-step explanation:
Given:
..............Equation ( 1 )
.............Equation ( 2 )
To Show:
order pair ( 1, 2) True for Which Equation
Solution:
The Correct Statements are
When (1 ,2) is substituted into the first equation, the equation is true.
For Equation ( 1 )
Put x = 1 and y =2 in equation 1 we get
∴ Left hand side = Right hand side
Hence True
When (1 ,2) is substituted into the second equation, the equation is true.
For Equation ( 2 )
Put x = 1 and y = 2 in equation 2 we get
∴ Left hand side = Right hand side
Hence True
The ordered pair (1 , 2) is a solution to the system of linear equations.
∴ From above Both are True,
Hence True
The first step in solving this question is to split the journey into 2 parts. In the first part of the journey, miles are covered at a speed of 40 mph. In the second part the journey 5 miles are covered at a speed of 60 mph.
The equation to compute the time of a journey given the speed and distance is where
is the time,
is the speed and
is the distance.
The time for the first part of the journey is calculated as shown below,
.
The time for the second part of the journey is calculated as follows,
.
The total time is the sum of the times taken to cover each part of the journey and is calculated as shown below,
The time to cover the journey is a third of an hour or 20 minutes.