Question

X + 3y = −4 x + 5y = −6

Answer 1

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

`x + 3y = -4\\x + 5y = -6`

We clear x of both equations:

`x = -4-3y\\x = -6-5y`

We match:

`-4-3y = -6-5y\\-3y + 5y = -6 + 4\\2y = -2\\y = \frac {-2} {2}\\y = -1`

We find the value of "x":

`x = -4-3 (-1)\\x = -4 + 3\\x = -1`

Thus, the solution of the system is:

`(x, y): (- 1, -1)`

Answer:

`(x, y): (- 1, -1)`