Rozwiąż układy równań:
1. 2(x-y)+3(x+y)=13
2x-3y=-5
2. 3(x-y)+2(x+y)=7
2x-3y=-5
3. 4(x-y)+3(x+y)=13
2x-3y=1
4. 3(x-y)+4(x+y)=15
-2x+3y=-1
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1.
2(x-y)+3(x+y)=13
2x-3y=-5
2x-2y+3x+3y=13
2x-3y=-5
5x+y=13/ *3
2x-3y=-5
15x+3y=39
2x-3y=-5
--------------------
17x=34 / :17
x=2
3y=39-15x
3y=39-30
3y=9/:3
y=3
2.
3(x-y)+2(x+y)=7
2x-3y=-5
3x-3y+2x+2y=7
2x-3y=-5
5x-y=7
2x-3y=-5
-y=7-5x / : (-1)
2x=-5+3y
y=-7+5x
2x=-5+3(-7+5x)
y=-7+5x
2x=-5-21+15x
y=-7+5x
2x-15x=-26
y=-7+5x
-13x=-26/ : (-13)
y=-7+5x
x=2
y=-7+10
x=2
y=3
x=2
3.
4(x-y)+3(x+y)=13
2x-3y=1
4x-4y+3x+3y=13
2x-3y=1
7x-y=13
2x-3y=1
-y=13-7x / :(-1)
2x-3y=1
y=-13+7x
2x=1+3y
y=-13+7x
2x=1+3(-13+7x)
y=-13+7x
2x=1-39+21x
y=-13+7x
2x-21x=-38
y=-13+7x
-19x=-38 / :(-19)
y=-13+7x
x=2
y=-13+14
x=2
y=1
x=2
4.
3(x-y)+4(x+y)=15
-2x+3y=-1
3x-3y+4x+4y=15
-2x+3y=-1
7x+y=15 / * (-3)
-2x+3y=-1
-21x-3y=-45
-2x+3y=-1
--------------------
-23x=-46 / :(-23)
x=2
3y=-1+2x
3y=-1+4
3y=3/ :3
y=1