Question

Rozwiąż układ równań metodą podstawiania:
1) x+y=1
x-y=5
2) x+y=5
2x-y=3
3)x+2y=6
x-y=3
4)2x+3y=7
x+2y=8
5)4x+10y=32
-3x-y=5



Pilnie jak najszybciej !!

Answer 1

1) x+y=1
x-y=5
x=1-y
1-y-y=5
-2y=4/:-2
x=1-y

y=-2
x=1-(-2)
x=3
y=-2

2) x+y=5
2x-y=3
x=5-y
2(5-y)-y=3
10-2y-y=3
-3y=-7/-3
y=7/3
x=5-7/3
x=5-2i1/3=2i2/3
y=7/3
x=2i2/3

3)x+2y=6
x-y=3
x=3+y
3+y+2y=6
3y=3/3
y=1
x=3+1=4

2x+3y=7
x+2y=8
x=8-2y
2(8-2y)+3y=7
16-4y+3y=7
-1y=-9/(-)
y=9
x=8-2*1=6
x=6
y=9

4x+10y=32
-3x-y=5
-y=5+3x/(-)
y=-5-3x
4x+10(-5-3x)=32
4x-50-30x=32
-26x=82/-26
x=-41/18
y=5+3(-41/18)
y=5-123/18
y=5-6i5/6
y=-1/6
x=-41/18

Answer 2

1)x+y=1
x-y=5
-------------
+ x=6

6+y=1
y=1-6
y=-5

x=6
y=-5



2) x+y=5
2x-y=3
---------------
+ 3x=7
x=2,3

2,3+y=5
y=5-2,3
y=2,7


3) x+2y=6
x-y=3/×2
x+2y=6
2x+2-y=3
--------------
+ 3x=9
x=3

3+2y=6
2y=3
y=1,5

4) 2x+3y=7
x+2y=8/×(-2)
2x+3y=7
-2x-4y=-16
---------------
-y=-9/÷(-1)
y=9
2x+3×9=7
2x+27=7
2x=-20
x=-10

5)
4x+10y=32
-3x-y=5/×10
4x+10y=32
-30x-10y=50
--------------
+ -26x=82
x=-3,15

4×(-3,15)+10y=32
12,6+10y=32
y=1,94