SOLUTION: Tell wether the ordered pair is a solution of the linear system. (1,-1); 2x - y = 3 4x + 2y = 2 Any help with this equation would be <b>Greatly</b> appreciated.

Algebra ->  Equations -> SOLUTION: Tell wether the ordered pair is a solution of the linear system. (1,-1); 2x - y = 3 4x + 2y = 2 Any help with this equation would be <b>Greatly</b> appreciated.      Log On


   



Question 127995: Tell wether the ordered pair is a solution of the linear system.
(1,-1);
2x - y = 3
4x + 2y = 2
Any help with this equation would be Greatly appreciated.

Answer by JessicaGill(40) About Me  (Show Source):
You can put this solution on YOUR website!
There are two ways you can solve this. By graphing to see if the ordered pair (1, -1) falls on both lines, or by simply substituting the x and y coordinates into both equations and seeing if they prove true.
Substitution is shown below
To substitute take your first equation and substitute 1 for x and -1 for y
2%2A1-%28-1%29=3 would be 2%2A1%2B1=3 which simplifies to 3=3 so the ordered pair is a solution for the first equation.
Lets check the second, substituting the values in for the x and y coordinates
%284%2A1%29%2B2%2A%28-1%29=2
Simplfy this down 4-2=2 to 2=2 so the ordered pair (1,-1) is a solution for both equations.

If you would like me to show you the graphing steps, please let me know.
thanks,
Ms. G