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2y+x=5
-y+x=2
3x+y=2
2x-2y=10
3x+3y=6
2x+y=10
4x-2y=10
2x+2y=6
4x=6-4y
2x+3=y
3x-4y=4
5y-x=9
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1.
2y+x=5
-y+x=2
x = 5 - 2y
-y + 5 - 2y = 2
x = 5 - 2y
-3y = 2 - 5
x = 5 - 2y
-3y = -3
x = 5 - 2y
y = 1
x = 5 - 2
y = 1
x = 3
y = 1
2.
3x+y=2
2x-2y=10
y = 2 - 3x
2x - 2(2 - 3x) = 10
y = 2 - 3x
2x - 4 + 6x = 10
y = 2 - 3x
8x = 10 + 4
y = 2 - 3x
8x = 14
y = 2 - 3x
x = 14/8 = 7/4
y = 2 - 3 * 7/4
x = 7/4
y = 8/4 - 21/4
x = 7/4
y = - 13/4
x = 7/4
3.
3x+3y=6 /:3
2x+y=10
x + y = 2
y = 10 - 2x
x + 10 - 2x = 2
y = 10 - 2x
-x = 2 - 10
y = 10 - 2x
-x = -8
y = 10 - 2x
x = 8
y = 10 - 16
x = 8
y = -6
4.
4x-2y=10 /:2
2x+2y=6 /:2
2x - y = 5
x + y = 3
y = 2x - 5
x + 2x - 5 = 3
y = 2x - 5
3x = 3 + 5
y = 2x - 5
3x = 8
y =2x - 5
x = 8/3
y = 2 * 8/3 - 5
x = 8/3
y = 16/3 - 15/3
x = 8/3
y = 1/3
x = 8/3 = 2 i 2/3
5.
4x=6-4y /:2
2x+3=y
2x + 2y = 3
2x = y - 3
y - 3 + 2y = 3
2x = y - 3
3y = 6
2x = y - 3
y = 2
2x = 2 - 3
y = 2
2x = -1
y = 2
x = -0,5
6.
3x-4y=4
5y-x=9
3x - 4y = 4
x = 5y - 9
3(5y - 9) - 4y = 4
x = 5y - 9
15y - 27 - 4y = 4
x = 5y - 9
11y = 4 + 27
x = 5y - 9
11y = 31
x = 5y - 9
y = 31/11
x = 5 * 31/11 - 99/11
y = 31/11
x = 155/11 - 99/11
y = 31/11
x = 56/11
y = 31/11
x = 5 i 1/11
y = 2 i 9/11
x = 5 i 1/11