SOLUTION: What does it mean, both algebraically and graphically, when an ordered pair (x,y) is a solution to a system of two linear equations?

Algebra ->  Equations -> SOLUTION: What does it mean, both algebraically and graphically, when an ordered pair (x,y) is a solution to a system of two linear equations?       Log On


   



Question 210732: What does it mean, both algebraically and graphically, when an ordered pair (x,y) is a solution to a system of two linear equations?


Found 2 solutions by Earlsdon, vleith:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Algebraically: From the solution (x, y), both the x-value and and the y-value must satisfy both linear equations.
Graphically: The two lines on the graph of the two linear equations must intersect at the point (x, y).

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
algebraically, it means that point is a solution to each equation
graphically, the point is the intersection of the two lines (assuming the lines are not 'the same line' or parallel lines, then they only intersect at a single point)