Question

Uklady rownań, z tym ze np "11 2/3" to ulamek, bo nie mam pojecia jak zrobic tutaj kreske, dziekuje :)

1.
6(x+y)=10y
y-x=0,5

2.
y-8x=0,8y
4x+5y=5,1

3.
2y+5x=6y
3y+4x=7 3/4

4.
1,5y-6x=4,5y
4y+9x=11 2/3

5.
10(y+2)+3(x-5)=x-5
25(y+2)+3(x-5)=-10

6.
2(2x-y)+3(x+3y)=42
5(x+3y)-8(2x-y)=-32

Answer 1

1.
6(x+y)=10y
y-x=0,5


6x+6y=10y
y=0,5-x

6x+6(0,5-x)= 10(0,5-x)
6x+3-6x=5-10x
10x=5-3
x=0,2

y=0,5-0,2=0,3

2.
y-8x=0,8y
4x+5y=5,1


0,2y=8x /*5
y=40x

4x+200x=5,1
204x=5,1
x=0,025

y=40*0,025=1

3.
2y+5x=6y
3y+4x=7 3/4

5x=4y /:5
x=0,8y

3y+3,2y=7,75
6,2y=7,75
y=1,25

x=1,25*0,8=1

4.
1,5y-6x=4,5y
4y+9x=11 2/3

-3y=6x
y=-2x

-8x+9x=11 2/3
x=11 2/3

y=-2* 11 2/3
y=-70/3
y=- 23 1/3

5.
10(y+2)+3(x-5)=x-5
25(y+2)+3(x-5)=-10

10y+20+3x-15=x-5
25y+50+3x-15=-10

10y=-2x-10
y=-0,2x-1

-5x-25+50+3x-15=-10
-2x=-20
x=10

y=-2-1
y=-3



6.
2(2x-y)+3(x+3y)=42
5(x+3y)-8(2x-y)=-32


4x-2y+3x+9y=42
5x+15y-16x+8y=-32

7x=42-7y
x=7-y

-11x+23y=-32
-77-11y+23y=-32
12y=45
y=3,75

x=7-3,75
x=3,25

pozdrawiam
licze na naj :D