Bardzo prosze o rozwiązanie DOBRZE wszystkich zadań [wzamian za dużą ilość punktów]
rozwiązanie w załączniku
a)
x+ 2y = -3
3x – 4y = 11
x= -2y -3
3(-2y -3) – 4y = 11
-6y -9 -4y = 11
-10y = 11+9
-10y = 20 / : (-10)
y = -2
y=-2
x=-2*(-2) -3
y =-2
x= 1
b)
x + 2y = -2
2x – y =1
x = -2y -2
2(-2y -2) – y = 1
-4y -4 –y = 1
-5y = 1+4
-5y = 5 /: (-5)
y= -1
y=-1
x-2 = -2
y=1
x=0
c)
2x +y = 8
3x -2y = 5
y= 8-2x
3x-2(8-2x) = 5
3x-16 +4x=5
7x = 5+16
7x=21 /:7
x=3
2*3 +y =8
y = 8-6
y=2
d)
2x +y = 9
5x-4y =3
y= 9-2x
5x -4(9-2x)=3
5x-36 + 8x =3
13x = 3+36
13x=39 /:13
x= 3
2*3 +y =9
y = 9-6
y=3
e)
2x +y = 11
5x – 4y = 8
y=11-2x
5x – 4(11-2x) = 8
5x-44 +8x = 8
13x= 8 +44
13x =52 /:13
x=4
2*4 +y =11
y = 11-8
f)
2x – y = 5
x + y = 4
x=4-y
2(4-y)-y=5
8 – 2y – y = 5
-3y = 5-8
-3y = -3 /: (-3)
x+1=4
x=4-1
g)
x+y = 1
x – y = 5
x=1-y
1-y –y = 5
-2y=5-1
-2y = 4 /: (-2)
x=1+2
h)
-2x + y = 0
3x – 3y = 1
y=2x
3x-3*2x =1
-3x=1 /: (-3)
x=-1/3
y = 2 * (-1/3)
y = -2/3
i)
2x + y =1
–x + y = -5 /*2
y=1-2x
-x + 1 -2x = -5
-3x=-5-1
-3x =-6 /: (-3)
x=2
y=1-2*2
y=-3
j)
3x + y = 5
2x – y = 0
y=5-3x
2x –(5-3x)=0
2x -5 +3x=0
5x=5 /:5
x=1
y=5-3
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rozwiązanie w załączniku
a)
x+ 2y = -3
3x – 4y = 11
x= -2y -3
3(-2y -3) – 4y = 11
-6y -9 -4y = 11
-10y = 11+9
-10y = 20 / : (-10)
y = -2
y=-2
x=-2*(-2) -3
y =-2
x= 1
b)
x + 2y = -2
2x – y =1
x = -2y -2
2(-2y -2) – y = 1
-4y -4 –y = 1
-5y = 1+4
-5y = 5 /: (-5)
y= -1
y=-1
x-2 = -2
y=1
x=0
c)
2x +y = 8
3x -2y = 5
y= 8-2x
3x-2(8-2x) = 5
3x-16 +4x=5
7x = 5+16
7x=21 /:7
x=3
x=3
2*3 +y =8
x=3
y = 8-6
x=3
y=2
d)
2x +y = 9
5x-4y =3
y= 9-2x
5x -4(9-2x)=3
5x-36 + 8x =3
13x = 3+36
13x=39 /:13
x= 3
x=3
2*3 +y =9
x=3
y = 9-6
x=3
y=3
e)
2x +y = 11
5x – 4y = 8
y=11-2x
5x – 4(11-2x) = 8
5x-44 +8x = 8
13x= 8 +44
13x =52 /:13
x=4
x=4
2*4 +y =11
x=4
y = 11-8
x=4
y=3
f)
2x – y = 5
x + y = 4
x=4-y
2(4-y)-y=5
8 – 2y – y = 5
-3y = 5-8
-3y = -3 /: (-3)
y=1
y=1
x+1=4
y=1
x=4-1
y=1
x=3
g)
x+y = 1
x – y = 5
x=1-y
1-y –y = 5
x=1-y
-2y=5-1
x=1-y
-2y = 4 /: (-2)
y=-2
x=1+2
y=-2
x=3
h)
-2x + y = 0
3x – 3y = 1
y=2x
3x-3*2x =1
y=2x
-3x=1 /: (-3)
x=-1/3
y = 2 * (-1/3)
x=-1/3
y = -2/3
i)
2x + y =1
–x + y = -5 /*2
y=1-2x
-x + 1 -2x = -5
y=1-2x
-3x=-5-1
y=1-2x
-3x =-6 /: (-3)
x=2
y=1-2*2
x=2
y=-3
j)
3x + y = 5
2x – y = 0
y=5-3x
2x –(5-3x)=0
y=5-3x
2x -5 +3x=0
y=5-3x
5x=5 /:5
x=1
y=5-3
x=1
y=2