SOLUTION: Using substitution, identify the ordered pair that is not an element of the solution set of the system of equations. 6x + 3y = 6 2x + y = 2 Options: (0, 2) (1, 0) (

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Using substitution, identify the ordered pair that is not an element of the solution set of the system of equations. 6x + 3y = 6 2x + y = 2 Options: (0, 2) (1, 0) (      Log On


   



Question 918595: Using substitution, identify the ordered pair that is not an element of the solution set of the system of equations.
6x + 3y = 6
2x + y = 2
Options:
(0, 2)
(1, 0)
(−2, 0)
(2, −2)

Found 2 solutions by ewatrrr, MathLover1:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Have You tried the Points given?
Use simplest EQ
2x + y = 2
0 + 2 = 2
2 + 0 = 2
-4 + 0 ≠ 2 ****(-2,0) DOES NOT work and is not an element of the solution set
4 - 2 = 2

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

6x+%2B+3y+=+6+..........eq.1.....both sides divide by 3
2x+%2B+y+=+2+.......eq.2
_____________________________________
6x%2F3+%2B+3y%2F3+=+6%2F3+..........eq.1
2x+%2B+y+=+2+.......eq.2
_____________________________________
2x+%2B+y+=+2+..........eq.1
2x+%2B+y+=+2+.......eq.2
_____________________________________

as you can see, the two lines are identical (one lies perfectly on top of the other) and intersect at all+points of both lines


+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+-2x%2B2%2C+-2x%2B2%29+