SOLUTION: could you please help me with this equation step by step so i can understand how to do this? I have to choose two integers between -12 and +12. then write two equations that have

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Question 486241: could you please help me with this equation step by step so i can understand how to do this?
I have to choose two integers between -12 and +12. then write two equations that have my two integers as solutions and show how i built the equations using my two integers. for example: x=12 and y=5. then solve my system of equations by the addition/subtraction method. I have been working on this for 2 hours and just cannot get it right in my head.
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website!
Using your examples of x=12, y=5
:
One equation could be: x - 2y = 2
another equation: -x + 3y = 3
:
Add these two equations
x - 2y = 2
-x + 3y = 3
---------------addition eliminates x find y
y = 5
Find x using the 1st equation
x - 2(5) = 2
x - 10 = 2
x = 2 + 10
x = 12
:
Check solutions in the 2nd equation
-x + 3y = 3
-12 + 3(5) =
-12 + 15 = 3