SOLUTION: Solve the following system by graphing. x + y - 6 = 0 x - y = 0

Algebra.Com
Question 1011351: Solve the following system by graphing.
x + y - 6 = 0
x - y = 0
Found 2 solutions by MathLover1, stanbon:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!



----------------------


--------------

Solved by pluggable solver: Solve the System of Equations by Graphing



Start with the given system of equations:










In order to graph these equations, we need to solve for y for each equation.




So let's solve for y on the first equation


Start with the given equation



Subtract from both sides



Rearrange the equation



Divide both sides by



Break up the fraction



Reduce



Now lets graph (note: if you need help with graphing, check out this solver)



Graph of




So let's solve for y on the second equation


Start with the given equation



Subtract from both sides



Rearrange the equation



Divide both sides by



Break up the fraction



Reduce





Now lets add the graph of to our first plot to get:


Graph of (red) and (green)


From the graph, we can see that the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection)
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Solve the following system by graphing.
x + y - 6 = 0
x - y = 0
-----
y = -x + 6
y = x
-------

-----
Ans:: (3,3)
-----
Cheers,
Stan H.
------
RELATED QUESTIONS

Solve the following system by graphing. x + y - 6 = 0 x - y =... (answered by MathLover1)
Solve the following system of linear inequalities by graphing. 3x+4y<12 x+3y<6 x>0 (answered by CrazyMan Jr.)
Solve the following system of linear inequalities by graphing. 3x + 4y < 12 x + (answered by Edwin McCravy)
Solve the following system of linear inequalities by graphing. {{{3x + 4y <=12}}} (answered by jim_thompson5910)
Solve the following system of linear inwqualities by graphing. 3x+4y<12 x+3y<6 x>0... (answered by jim_thompson5910)
1. Solve the following system of linear inequalities by graphing. x + 2y <= 3 2x –... (answered by longjonsilver)
Solve the following system of linear inequalities by graphing. 3x + 4y <= 12 x + 3y... (answered by jim_thompson5910)
Solve the following system of linear inequalities by graphing. x+y<5 0<=y<=3 (answered by elima)
Find a solution to the system of equations by graphing. x+y=6... (answered by Ave)