Question

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

Answer 1

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.

Answer 2

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?

Answer 3

yes, both are true statements, so it is a solution.

if one of the equations had given you 3 = 5, then "not"

Answer 4

what if for one equation it's 3=5, and for another it's also 3=5?

Answer 5

then clearly the point is not on either of the two lines.


(each of the given equation has a graph representing a straight line)

Answer 6

ok then thanks