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sergij07 [2.7K]
3 years ago
5

3x - 3y = -32x - y = -5​

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

For this case we must solve the following system of equations:

3x-3y = -3\\2x-y = -5

To solve we follow the steps below:

We multiply the second equation by -3:

-6x + 3y = 15

Thus, we have the equivalent system:

3x-3y = -3\\-6x + 3y = 15

We add the equations:

3x-6x-3y + 3y = -3 + 15\\-3x = -3 + 15\\-3x = 12\\x = \frac {12} {- 3}\\x = -4

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

2 (-4) -y = -5\\-8-y = -5\\-y = -5 + 8\\-y = 3\\y = -3

Thus, the solution of the system is given by:

(x, y): (- 4, -3)

Answer:

(x, y): (- 4, -3)

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