1)2x-y=2
3x+y=8
2x-y+3x+y=2+8
5x=10
x=2
2×2-y=2
4-y=2
-y=-2
y=2
(2;2)
2)4x-3y=3
4x-7y=-5
4x-3y-4x+7y=3+5
4y=8
4x-3×2=3
4x-6=3
4x=9
x=9/4=2 1/4
(2 1/4;2)
3)7x+3y=-1
3x-7y=17
7x=-1-3y
x=-1/7-3y/7
3×(-1/7-3y/7)-7y=17
y=-61/29
x=-1-3×(-61/29)=22/29
(22/29,-61/29)
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Answers & Comments
1)2x-y=2
3x+y=8
2x-y+3x+y=2+8
5x=10
x=2
2×2-y=2
4-y=2
-y=-2
y=2
(2;2)
2)4x-3y=3
4x-7y=-5
4x-3y-4x+7y=3+5
4y=8
y=2
4x-3×2=3
4x-6=3
4x=9
x=9/4=2 1/4
(2 1/4;2)
3)7x+3y=-1
3x-7y=17
7x=-1-3y
3x-7y=17
x=-1/7-3y/7
3x-7y=17
x=-1/7-3y/7
3×(-1/7-3y/7)-7y=17
x=-1/7-3y/7
y=-61/29
x=-1-3×(-61/29)=22/29
y=-61/29
(22/29,-61/29)