Which system of equations is equivalent to the system of equations shown? 2x - 4y = 12 3x - 5y = 20 A) 5x - 9y = 32 and 6x - 10y
2 answers:
You might be interested in
Answer:
See explanation
Step-by-step explanation:
A dog owner records the weight of her dog. She finds that from the age of 20 weeks to the age of 48 weeks, the dog’s weight can be modelled by the equation
where
w = weight
t = number of week from 20 weeks to 48 weeks
If we want to extend this model to the dog's weight at birth, then find the dog's weigth when it was born.
At t = 0,
We get the dog's weight -0.15 kilograms at the day the dog was born. But this is impossible, because the dog's weight cannot be negative.
Let us denote the smaller even integer by 
.
Then, the next even integer must be
.
To verify, set as any even number, say 
.
Then, the next even integer must be 2 more than this number, i.e.
.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this:
Then, the next even integer must be
To verify, set
Then, the next even integer must be 2 more than this number, i.e.
The sum of these two consecutive even integers can be expressed as:
We are told that this sum divided by four is 189.5, i.e.
Multiplying both sides by 4 will reverse the division:
Subtracting 2 from each side will reverse the addition:
Dividing both sides by 2 will reverse the multiplication:
Therefore, the two consecutive integers must be 378 and 380.
Check this: