Answer:
Step-by-step explanation:
3x – y + 2z = 6 - - - - - - - - - 1
-x + y = 2 - - - - - - - - - - - - -2
x – 2z = -5 - - - - - - - - - - - -3
From equation 2, x = y - 2
From equation 3, x = 2z - 5
Substituting x = y - 2 and x = 2z - 5 into equation 1, it becomes
3(y - 2) – y + 2z = 6
3y - 6 - y + 2z = 6
3y - y + 2z = 6 + 6
2y + 2z = 12 - - - - - - - - - 4
3(2z - 5) – y + 2z = 6
6z - 15 - y + 2z = 6
- y + 6z + 2z = 6 + 15
- y + 8z = 21 - - - - - - - - - - 5
Multiplying equation 4 by 1 and equation 5 by 2, it becomes
2y + 2z = 12
- 2y + 16z = 42
Adding both equations
18z = 54
z = 54/18 = 3
Substituting z = 3 into equation 5, it becomes
- y + 8×3 = 21
- y + 24 = 21
- y = 21 - 24 = - 3
y = 3
Substituting y = 3 into equation 2, it becomes
-x + 3 = 2
- x = 2 - 3 = -1
x = 1
Answer:
(x + 2, y - 6)
Step-by-step explanation:
its basically the rule of the translation, like x was 2 units to the right and y was 6 units down
Can i get brainliest please? :))
hope this helped
The function y = 1100.74x - 1976.47 represent the total number of visitors x years after 2005.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the total number of visitors x years after 2005. Hence:
y = 1100.74x - 1976.47
The function y = 1100.74x - 1976.47 represent the total number of visitors x years after 2005.
Find out more on equation at: brainly.com/question/13763238
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Answer:
Step-by-step explanation:
- Given white = n - counters
choosing randomly a counter of any color; n -1 counters will be left of the same color, total = 3n - 1 counters left
- hence, probability of both same color of counters = n-1/3n-1
- to get the probability that both counters are of he same number ;
we are told that ; n white counters numbered 1 through n, n black counters numbered 1 through n, and n red counter numbered 1 through n
- similarly, choosing a counter randomly of the same number = 2 counters will be left of same number and total left will be 3n-1
- as such probability that both counters are of the same color = 2/3n-1
- hence, probability of the same color or same number = n-1/3n-1 + 2/3n-1 = n+1/3n-1
Answer:
3 :)
Step-by-step explanation:
