Question

Witch order pair is a solution

-2x+6y=16. -4x-3y=2

Answer 1

The ordered pair solution is (-2,2)

Explanation:

Here, we want to get the ordered pair solution to the system of linear equations

From the first equation, we can have it that;

-2x = 16-6y

Now, we can substitute this into the second equation as follows;

From; -4x -3y = 2

2(-2x) - 3y = 2

2(16-6y) - 3y = 2

32 - 12y - 3y = 2

32-15y = 2

-15y = 2-32

-15y = -30

y = -30/-15

y = 2

Recall;

-2x + 6y = 16

substitute for the value of y

-2x + 6(2) = 16

-2x + 12 = 16

-2x = 16-12

-2x = 4

x = 4/-2

x = -2