Y = x + 2 2x - y = -4 Solve the system of equations using substitution. A) (-2,-4) B) (-2,0) C) (-6,-4) D) (-6,8)

Question

asked Sep 5, 2020 177k views

1 Answer

Rewind · Answer 1 · 2020-09-09T23:34:33+0000

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

$y = x + 2\\2x-y = -4$

So, we substitute the first equation in the second one:

2x- (x + 2) = - 4

We consider by law of signs of multiplication that:

$- * + = -\\2x-x-2 = -4\\x-2 = -4\\x = -4 + 2$

Different signs are subtracted and the sign of the major is placed:

x = -2

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

$y = -2 + 2\\y = 0$

Thus, the solution of the system is given by:
(x, y): (- 2,0)

Answer:

Option B