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Studentka2010 [4]
3 years ago
11

Where is the blue dot on the number line? ++ 十 6 0 6

Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Step-by-step explanation:

Each space between 2 lines represent 6 units. (from -6 to 0 is 6 units, from 0 to 6 is 6 units)

Since the blue dot is 3 spaces to the right of 0, it is 3 * 6 units = 18.

The value of the blue dot is 18.

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What is the solution of the system x − 3y = –13 and 5x + 7y = 34? A. `x = (6)/(5)`, y = 4 B. `x = (7)/(2), y = (9)/(2)` C. `x =
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For this case we have the following system of equations:

x-3y = -13\\5x + 7y = 34

From the first equation we clear "x":

x = -13 + 3y

We substitute in the second equation:

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We add similar terms:

-65 + 22y = 34

We add 65 to both sides:

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We divide between 22 on both sides:

y = \frac {99} {22}\\y = \frac {9} {2}

We look for the value of the variable "x":

x = -13 + 3 \frac {9} {2}\\x = -13 + \frac {27} {2}\\x = \frac {-26 + 27} {2}\\x = \frac {1} {2}

Thus, the solution of the system is:

(x, y): (\frac {1} {2}, \frac {9} {2})

ANswer:

(x, y): (\frac {1} {2}, \frac {9} {2})

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