SOLUTION: in my homework it says to give the point that represents the intersections of the lines? i dont get how to solve the problem. i would like to know what is the equation or solution

Question 131635: in my homework it says to give the point that represents the intersections of the lines? i dont get how to solve the problem. i would like to know what is the equation or solution to the problems so i can do the rest by myself.the problem is y=x and 4x+5y=9 how do u find where the intersections of the lines is

Found 2 solutions by stanbon, 067isa:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
y=x and 4x+5y=9
----------------
You are looking for a pair of numbers that make both equations true.
----------------
Since y = x, substitute x in place of y in the 2nd equation:
4x + 5x = 9
9x = 9
x = 1
------------
But y = x, so y = 1 also.
---------------------------
The solution for the system is (1,1)
-----------------
If you graph the two equation they will intersect at (1,1).

=================
Cheers,
Stan H.

Answer by 067isa(13) (Show Source): You can put this solution on YOUR website!
ok the intersection means in math where the two lines intersect each other.
so the point of the intersection staisfied both equation.
y=x " equation one"
4x+5y=9 " equation two"
so we can solve this by three ways Elimination or Sub. or graphying
i am going to do it by substution ok
so now , sub equation one in equation two
instead of y put x in the second equation
4x+5(X)=9
9x=9 divde both sides by 9
x=1 use either first or second equation to get the Y value because we looking for a point with both corodinates ok. since as i said at the beginning the point of intersection will statifeid both equation so no problems to sub. the value of X in either of these two equation
the first is easier
y=x
so we got x=1 therfore the y=1
so the point of the intersection is (1,1) Good Luck
try to sub the value of X in the second equatiion to find a surpise! the same answer for Y

RELATED QUESTIONS
i dont really know how to solve a prob. like that.. grr so plz help me in my homework... (answered by rapaljer)
i dont get direct variation it says: Write the equation of direct variation that includes (answered by scott8148)
Trying to check my daughter's homework, not sure I remember how. Q. Solve by graphing:... (answered by stanbon,Edwin McCravy)
I have a math problem on my homework, and its a bunch of angles. they give you an... (answered by solver91311)
On my homework assignment, it says: "Write the point slope form of equations fro... (answered by psbhowmick,checkley71)
okay so iam doing my algebra homework. and in school i get it perfect-ally fine but than... (answered by Alan3354)
My teacher gave us this workshetet that says sketch the graph on each line and they give... (answered by mananth)
hey maybe someone could help me with these three algebra problems, i have been sitting on (answered by Alan3354)
I have this problem and I dont see how the answer book got the answer of -1. I am... (answered by ewatrrr)