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Metoda Podstawiania
1. [x+y=8]
[x-y=2]
2.[x+y=25]
[x-y=15]
3.[3x+y=8]
[2x-y=2]
Metoda Przeciwnych Współczyników
1.[x+y=7]
[x-y=5]
2.[4x+y=5]
[3x-y=2]
3.[5x+3y=8]
[7x-3y=4]
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1.
x + y = 8
x - y = 2
x = 8 - y
8 - y - y = 2
x = 8 - y
-2y = -6
x = 8 - y
y = 3
x = 5
y = 3
2.
x + y = 25
x - y = 15
x = 25 - y
25 - y - y = 15
x = 25 - y
-2y = -10
x = 25 - y
y = 5
x = 20
y = 5
3.
3x + y = 8
2x - y = 2
y = 8 - 3x
2x - 8 + 3x = 2
y = 8 - 3x
5x = 10
y = 8 - 3x
x = 2
y = 2
x = 2
______________
1.
x + y = 7
x - y = 5
+________
x + x = 7 + 5
2x = 12
x = 6
6 + y = 7
x = 6
y = 1
x = 6
2.
4x + y = 5
3x - y = 2
+________
4x + 3x = 5 + 2
7x = 7
x = 1
4 + y = 5
x = 1
y = 1
x = 1
3.
5x + 3y = 8
7x - 3y = 4
+________
5x + 7x = 8 + 4
12x = 12
x = 1
5 + 3y = 8
x = 1
3y = 3
x = 1
y = 1
x = 1