X + 3y = −4 x + 5y = −6

Question

asked Jul 11, 2020 225k views

1 Answer

Adam Porad · Answer 1 · 2020-07-17T16:41:04+0000

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: