SOLUTION: Solve the system equation by graphing x-y=2 x+y=8

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Question 891372: Solve the system equation by graphing
x-y=2
x+y=8
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
x-y=2
Using the second equation's left member,
x-y+(x+y)=2+x+y, which is just Addition Property for Equality,
x-y+x+y=2+8, which is mostly substitution using that same second equation,
2x+0=10
2x=10
x=5


LEARN THE ELIMINATION METHOD.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
Solve the system equation by graphing
x-y=2
x+y=8


x - y = 2

x - 0 = 2 ------- Substituting 0 for y to determine x-intercept

x = 2

Point to graph: (2, 0)



x - y = 2

0 - y = 2 ------- Substituting 0 for x to determine y-intercept

- y = 2

y = , or y = - 2

Point to graph: (0, - 2)



Repeat the process for the other equation to determine its x and y-intercepts



Graph both lines. Where they INTERSECT is your solution. 

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