1 Answer

Jpinelo · Answer 1 · 2020-08-09T08:03:05+0000

For this case we have the following system of equations:

$y = 3x-7\\6x + 3y = 15$

To find the solution, we follow the steps below:

We substitute the first equation in the second equation:

$6x + 3 (3x-7) = 15\\6x + 9x-21 = 15\\15x = 15 + 21\\15x = 36\\x = \frac {36} {15}\\x = \frac {12} {5}$

Now, we find the value of "y":

$y = 3 (\frac {12} {5}) - 7\\y = \frac {36} {5} -7\\y = \frac {36-35} {5}\\y = \frac {1} {5}$

Thus, the solution of the system is:

$(x, y): (\frac {12} {5}, \frac {1} {5})$

Answer:

The value of the variable "y" is
$\frac {1} {5}$

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