Can someone please help me on these two questions.
1 answer:
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All the numbers in the first equation have a common factor of 2. Removing that gives
.. x +4y = 6
making it easy to solve for x
.. x = 6 -4y
My choice would be to solve for x using the first equation.
_____
On second thought, it might actually be easier to solve either equation for 8y. That term then directly substitutes into the other equation (equivalent to adding the two equations).
.. 8y = 3x -11 . . . . . from the second equation
.. 2x +(3x -11) = 12 . . . substituting into the first equation
.. 5x = 23 . . . . . . . . . . collect terms, add 11 (what you would get by adding the equations in the first place)
.. x = 4.6
.. y = (3*4.6 -11)/8 = 0.35
.. x +4y = 6
making it easy to solve for x
.. x = 6 -4y
My choice would be to solve for x using the first equation.
_____
On second thought, it might actually be easier to solve either equation for 8y. That term then directly substitutes into the other equation (equivalent to adding the two equations).
.. 8y = 3x -11 . . . . . from the second equation
.. 2x +(3x -11) = 12 . . . substituting into the first equation
.. 5x = 23 . . . . . . . . . . collect terms, add 11 (what you would get by adding the equations in the first place)
.. x = 4.6
.. y = (3*4.6 -11)/8 = 0.35
The prime factorization of 240 is . 3 . 5 ⇒ last answer
Step-by-step explanation:
Prime number is the number that has only 2 factors 1 and itself
{2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , ............}
In prime factorization we use only the prime numbers
Ex: The factors of 15 are 1 , 3 , 5 , 15,
Then the prime factors of 15 are 3 and 5 only because they are
prime numbers
So to find the prime factors of a number do that
1. Factorize the number by divide it using prime numbers only
2. Write the number as a product of its prime factors
∵ 240 divisible by first prime number 2
∴ 240 ÷ 2 = 120
∵ 120 ÷ 2 = 60
∵ 60 ÷ 2 = 30
∵ 30 ÷ 2 = 15
- We divided the number by 2 for 4 times
∴ is a prime factor of 240
∵ 15 is divisible by prime number 3
∴ 15 ÷ 3 = 5
∴ 3 is a prime factor of 240
∵ 5 is divisible by prime number 5
∴ 5 ÷ 5 = 1
∴ 5 is a prime factor of 240
∴ The prime factors of 240 are , 3 , 5
The prime factorization of 240 is . 3 . 5
Learn more:
You can learn more about factors in brainly.com/question/5194236
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