Posted by Angie on .
what does it mean for an ordered pair to be a soltuin of both equations?
for example,for this system, is the ordered pair a solution of both equations?
(2,2.4)
4x+5y=20
2x+6y=10

math 
Reiny,
substitute the x and y values of your given point into each of the two equations.
If the statement is true, that is, if it satisfies the equation, then it is a solution for the equations. 
math 
Angie,
oh,ok..
let's say for one equation you get 2=2, and for another, you get 4=4.is the ordered pair a solution of both equations? 
math 
Reiny,
yes, both are true statements, so it is a solution.
if one of the equations had given you 3 = 5, then "not" 
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Angie,
what if for one equation it's 3=5, and for another it's also 3=5?

math 
Reiny,
then clearly the point is not on either of the two lines.
(each of the given equation has a graph representing a straight line) 
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Angie,
ok then thanks