Me with these 1. what is the solution of the system? 4x−y=−38 x+y=3 2. what is the solution of the system? −3x+9y=36 4x+12y=24 3. what is the solution of the system of equations? 7/2x−1/2y=9/2 3x−y=5

3. [1, −2]

2. [−3, 3]

1. [−7, 10]

Step-by-step explanation:

3.

{7⁄2x - ½y = 9⁄2

{3x - y = 5

-6⁄7[7⁄2x - ½y = 9⁄2]

{−3x + 3⁄7y = −3 6⁄7 >> New Equation

{3x - y = 5

-4⁄7y = 1 1⁄7

-2 = y [Plug this back into both equations above to get the x-coordinate of 1]; 1 = x

2.

{−3x + 9y = 36

{4x + 12y = 24

¾[4x + 12y = 24]

{−3x + 9y = 36

{3x + 9y = 18

18y = 54

______

1818

y = 3 [Plug this back into both equations above to get the x-coordinate of −3]; −3 = x

1.

{4x − y = −38

{x + y = 3

5x = -35

___

55

x = -7 [Plug this back into both equations above to get the y-coordinate of 10]; 10 = y

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