Which number line represents the solutions to x + 4 = 2? +
+
-6 -5 -4 -3 -2 -1 0
1
2 3
4
5
6
+
+
O
+N
-7 -6 -5 -4
0
1
2 3
4
5
6
+
O
O +
-7-6-5-4-3-2-1
1
2 3
4
5 6
+
+
+
+
-7 -6 -5 -4
-3 -2 -1 0
1
2
3
4 5 6 7

A

Step-by-step explanation:

x + 4 = ± 2

x = -2

x = -6

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1