LCM of 20 and 50 and GCF of 20 and 50 (Show all work) ( explain the steps you took to find the LCM and GCF)
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Answer:
Step-by-step explanation:
Adding both equations will make it:
Putting x = 10 will make it:
= 3(1000)-40+1
= 3000-39
= 2961
This involves a bit of logic in thinking about what LCM actually means.
LCM is the least common multiple. A common multiple is a multiple shared by two or more numbers. And by multiple, we mean some number multiplied by successive integers; this set contains multiples of 5 {5, 10, 15, 20, 25...}. You can see that the least (or lowest) common multiple is the lowest multiple shared by two numbers. Like for 6 and 9, you have {6, 12, 18, 24...} and {9, 18...}, so LCM(6,9) = 18.
Now, if an LCM must be shared by both numbers, and to get a multiple of the largest number, you have to multiply by an integer greater than or equal to 1, then the LCM of two numbers can never be less than the larger of the twi numbers. Generally, if x and y are positive real numbers, and x is greater than y,
.
LCM is the least common multiple. A common multiple is a multiple shared by two or more numbers. And by multiple, we mean some number multiplied by successive integers; this set contains multiples of 5 {5, 10, 15, 20, 25...}. You can see that the least (or lowest) common multiple is the lowest multiple shared by two numbers. Like for 6 and 9, you have {6, 12, 18, 24...} and {9, 18...}, so LCM(6,9) = 18.
Now, if an LCM must be shared by both numbers, and to get a multiple of the largest number, you have to multiply by an integer greater than or equal to 1, then the LCM of two numbers can never be less than the larger of the twi numbers. Generally, if x and y are positive real numbers, and x is greater than y,
Answer:
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Step-by-step explanation:
We are given that two lines
and
We have to find the intersection point of two lines
Let (equation 1)
(Equation 2)
Multiply equation 2 by 3 then subtract from equation 1
Substitute in the equation 1
Then, we get
Hence, the intersection point of two given lines is (