Determine whether the ordered pair is a solution of the system of linear equations.

(5,3),{3x+y=12

2x+3y=1

3 (5) + y=12

15+y=12

-15 - 15

y=-3

Answer is no

3x + y = 12

2x + 3y = 1

Take the top equation and multiply it by - 3

-9x - 3y = - 36

2x + 3y = 1

Then, add the equations (Combine like terms

-7x = - 35

Take both sides divided by - 7

x = 5

The ordered pair is (5, 3) and x is infact 5, so continue

Then, plug in x for one of the other equations

3x + y = 12

3 (5) + y = 12

15 + y = 12

Subtract 15 from both sides

y = - 3

Your ordered pair is (5, 3) but the y is not - 3

No, the ordered pair is not a solution of the system of linear equations