SOLUTION: solve each system grahpically. x+y=5 x-y=1

Algebra.Com
Question 145710: solve each system grahpically.
x+y=5
x-y=1

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

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



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 -1




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 (3,2)

RELATED QUESTIONS

Solve each system by graphing. x > 2 + y y>1 (answered by Boreal)
Solve each system graphically X-y=1 X+y=5 Please show work (answered by MathLover1)
how do you solve this.. x+2y=5 solve each system of equation... (answered by ReadingBoosters)
solve this system algebraically y=x2-5 y=... (answered by ankor@dixie-net.com)
solve each system of equations algebraically 1/x + 3/y = 6 2/x -1/y =... (answered by stanbon)
Solve by grapghing, indicate whether each system is independent, inconsistent, or... (answered by Alan3354)
solve each system x+y-z= -1 4x-3y+2z= 16... (answered by venugopalramana)
solve each system by grapting 1. 4y=x+2... (answered by checkley77)