Question 5232: Solve the system:
2x+3y=10
-3x+2y=11
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! in the Lesson section on this site, i have written explanations on how to solve such systems. Have a look there, to learn.
Here is your solution: I shall pick to make the x terms the same:
2x+3y=10 by x3
-3x+2y=11 by x2
6x+9y = 30
-6x+4y = 22
Now add the 2 equations together to give 13y = 52. Next,
y = 52/13
--> y = 4
so, now in 2x+3y = 10
--> 2x + 3(4) = 10
--> 2x + 12 = 10
--> 2x = -2
--> x = -1
Now check in other equation
-3x+2y
-3(-1) + 2(4)
3 + 8
11 --> which is the correct answer!
So, the solution is correct.
Jon.
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