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:

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