Oblicz metodą podstawiania :
a) 5x+2y=7, x+3y=2
b) 5x+2y=7, x+y=2
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a)
x+3y=2
5x+2y=7,
x=2-3y
5(2-3y)+2y=7
x=2-3y
10-15y+2y=7
x=2-3y
-13y=-3
x=2-3y
y=3/13
x=2-3*3/13
y=3/13
x=1 4/13
y=3/13
spr. 5*1 4/13+2*3/13=6 7/13+6/13=7 P=L
1 4/13+3*3/13=1 4/13+9/13=2 L=p
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b)
x+y=2
5x+2y=7,
x=2-y
5(2-y)+2y=7
x=2-y
10-5y+2y=7
x=2-y
-3y=-3
x=2-y
y=1
x=2-1
y=1
x=1
y=1
spr.
5*1+2*1=7 L=P
1+1=2 L=P