Rozwiąż układ równiań metodą podstawiania.
a) [x-3y=1
2x-5y=7
b) [4x-3y=2
-2x+y=4
c) [2x+y=3
x-2y=4
x=1+3y
2(1+3y)-5y=7 2+6y-5y=7 y=5
x=1 + 3*5 x=16
-2x+y=4 y=4+2x
4x-3(4+2x)=2 4x-12-6x=2
-2x=14
x=-7
y=4-14
y=-10
x-2y=4 x=4+2y
2(4+2y)+y=3
8+4y+y=3
5y=-5
y=-1
x=4-2
x=2
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a) [x-3y=1
2x-5y=7
x=1+3y
2(1+3y)-5y=7 2+6y-5y=7 y=5
x=1 + 3*5 x=16
b) [4x-3y=2
-2x+y=4 y=4+2x
4x-3(4+2x)=2
4x-12-6x=2
-2x=14
x=-7
y=4-14
y=-10
c) [2x+y=3
x-2y=4 x=4+2y
2(4+2y)+y=3
8+4y+y=3
5y=-5
y=-1
x=4-2
x=2