X 1 2 3 4 y 5 10 15 20 What's the constant?
1 answer:
<u>Answer:</u>
x ---> 1
y ---> 5
<u>Step-by-step explanation:</u>
We are given paired values for two variables x and y and we are to determine the constant number by which each term is increased such that they are in a proportional relationship.
For x, we have the following paired values:
So here the difference between each consecutive term is 1 so the constant is 1.
And for y, we have:
In this case, the difference between each consecutive term is 5 so the constant is 5.
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You have in the first equation "+y" and in the second "-y"
So, you add the 2 equations, so we can remove this 2 letters since they're opposite numbers.
So, we get:
-4x + y -5x - y = 21 + 6
-4x -5x = 21 + 6
Then, you add
-4x -5x = 21 + 6
-9x = 27
Then, you move the -9 to the other part, next to the 27. And since it was a multiplication, it becomes a division.
x =
Then, you choose an equation of the system, and you replace x by it's value so you can find y. I'll take the first equation.
-4x + y = 6
-4*-3 + y = 6
12 + y = 6
Then, you move 12 to the other part next to the 6. And since it was a positive number, it becomes a negative number.
So
y = 6 - 12
y = -6
So, the solution of the proposed system <span>is (x;y) = (6;-6)
x = 6
y = -6
Hope this Helps :)
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So, you add the 2 equations, so we can remove this 2 letters since they're opposite numbers.
So, we get:
-4x + y -5x - y = 21 + 6
-4x -5x = 21 + 6
Then, you add
-4x -5x = 21 + 6
-9x = 27
Then, you move the -9 to the other part, next to the 27. And since it was a multiplication, it becomes a division.
x =
Then, you choose an equation of the system, and you replace x by it's value so you can find y. I'll take the first equation.
-4x + y = 6
-4*-3 + y = 6
12 + y = 6
Then, you move 12 to the other part next to the 6. And since it was a positive number, it becomes a negative number.
So
y = 6 - 12
y = -6
So, the solution of the proposed system <span>is (x;y) = (6;-6)
x = 6
y = -6
Hope this Helps :)
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