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-2x+6y=9
9x-6y=15
+ -2x+6y=9
-------------
7x= 24/ :7
x= 24/7
3* 24/7 - 2y= 5
72/7-5=2y
37/7 = 2y/ :2
37/14= y
x= 24/7
y= 37/14
spr. 3* 24/7 - 2* 37/14 = 5
72/7 - 37/7 = 5
35/7 = 5
5 = 5
-2x+6y=9
Z pierwszego równania wyznaczamy y:
3x - 2y = 5
-2y = 5 - 3x
2y = 3x - 5
y = (3x-5)/2
Podstawiamy do drugiego równania:
-2x+3(3x-5)=9
-2x + 9x - 15 = 9
7x = 9+15
7x = 24
x = 24/7
Obliczenie y:
y = (3x-5)/2
y = (72/7 - 5)/2
y = 37/14
Odpowiedź: x = 24/7, y = 37/14