SOLUTION: Please help me solve the system of equations by graphing: x+y=4 x+y=-4 Thank you.

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Question 208758This question is from textbook Introductory Algebra
: Please help me solve the system of equations by graphing:
x+y=4
x+y=-4
Thank you.
This question is from textbook Introductory Algebra

Found 2 solutions by stanbon, DRichardson:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Please help me solve the system of equations by graphing:
x+y=4
x+y=-4
-----------------
Rearrange:
y = -x+4
y = -x-4
----------------
Graph:

---
The lines are parallel; there is no solution for the system of equations.
===========================================================
Cheers,
Stan H.

Answer by DRichardson(63)   (Show Source): You can put this solution on YOUR website!
Hello there,
This is a pretty simple equation:
Simplifying
x + y = 4
Solving
x + y = 4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1y' to each side of the equation.
x + y + -1y = 4 + -1y
Combine like terms: y + -1y = 0
x + 0 = 4 + -1y
x = 4 + -1y
Simplifying
x = 4 + -1y





Now for x + y = -1



Simplifying
x + y = -4
Solving
x + y = -4
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1y' to each side of the equation.
x + y + -1y = -4 + -1y
Combine like terms: y + -1y = 0
x + 0 = -4 + -1y
x = -4 + -1y
Simplifying
x = -4 + -1y
Then you would graph these two answers and draw a line to each one. The point where the lines connect should be you answer.
I hope this helps! good luck on your lesson or homework!!!
Delilah R.
PS: Let me know how you do!

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