SOLUTION: can you show me an example of linear algebra. my question is: 2x+3y=6 2x-y=-2

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Question 31074: can you show me an example of linear algebra.
my question is: 2x+3y=6
2x-y=-2

Answer by ikdeep(226) About Me  (Show Source):
You can put this solution on YOUR website!
2x+3y=6............(1)
2x-y=-2............(2)
we solve the above equations by elimination method ...
2x + 3y = 6
2x - y = -2
- + +
--------------
4y = 8
divide both sides by 4 ,,,and we get ...
y = 2
putting the values of y in any of the equation to get the value of x ,,,here i am taking equation (1)..we get
2x+3y=6............(1)
2x + 3 * 2 = 6
2x + 6 = 6
subtract 6 from both sides and we get ...
2x = 0
divide both sides by 2 and we get ,,,,
x = 0
therefore the value are ....y = 2 and x = 0.....
Now if you want to verify you answer ,,,you can put the values of x and y in any of the equation and if you get LHS=RHS,,,this means that you answer is correct..