1047. Feladat
a.)
`{(2x,+,3y,=,7),(2x,-,2y,=,4):}``=>``{(4x,+,6y,=,14),(9x,-,6y,=,12):}`

`4x+6y+9x-6y=14+12`

`13x=26`

`x=2`


`3*2-2y=4`
`y=1`

`(x,y) = (2,1)`


b.)
`{("2,5"x,+,y,=,-2),(-5x,-,3y,=,1):}``=>``{(5x,+,2y,=,-4),(-5x,-,3y,=,1):}`

`5x+2y-5x-3y=-4+1`

`y=3`


`-5y-3*3=1`

`x=-2`


`(x,y) = (-2,3)`

1040. Feladat
a.)
`{(-x/5,-,1,=,y),(2x,+,"4,5",=,y):}``=>``{(2x,+,10y,=,-10),(-2x,+,y,=,"4,5"):}`

`2x+10y-2x+y=-10+4,5`

`11y=-5,5`

`y=-1/2`


`-2x+(-1/2)=4,5`

`x=-5/2`


`(x,y) = (-5/2,-1/2)`

b.)
`{(2/3x,+,2,=,y),(-1/2x,-,1,=,y):}``=>``{(-2x,+,3y,=,6),(2x,+,4y,=,-4):}`

`-2x+3y+2x+4y=6-4`

`7y=2`

`y=2/7`


`x+2*2/7=-2`

`x=-18/7`


`(x,y) = (2/7,-18/7)`

1011. Feladat
a.)
`2/3x=3/4x+5``=>``-1/12x=5``=>``x=-60`

d.)
`3/8x=2/9x+3``=>``11/72x=3``=>``x=216/11`

e.)
`3/8x=2/9x-3``=>``11/72x=-3``=>``x=-216/11`


1018. Feladat
`3x+14=2*(x+14)``=>``3x-2x=28-14``=>``x=14`

A fiú most 14 éves az apa `3*14` = `42` éves.


1027. Feladat
`0,3x-1/5x=90``=>``3x-2x=900``=>``x=900`