x/7-1/2=1/y+3 tìm x,y ui 7 phút nhé vote 5 sao cho à

2 câu trả lời

Đáp án:

`x/7 - 1/2 = 1 / ( y + 3 )`

`<=>` `( 2x - 7 ) / 14 = 1 / ( y + 3 )`

`<=>` `( 2x - 7 ) ( y + 3 ) = 14 . 1 = 14`

$\bullet$ `{(2x - 7 = 7),(y + 3 = 2):}`

`<=>` `{(2x = 14),(y = -1):}`

`<=>` `{(x = 7),(y = -1):}`

$\bullet$ `{(2x - 7 = 2),(y + 3 = 7):}`

`<=>` `{(2x = 9),(y = 4):}`

`<=>` `{(x = 9/2),(y = 4):}`

$\bullet$ `{(2x - 7 = -1),(y + 3 = -14):}`

`<=>` `{(2x = 6),(y = -17):}`

`<=>` `{(x = 3),(y = -17):}`

$\bullet$ `{(2x - 7 = -14),(y + 3 = -1):}`

`<=>` `{(2x = -7),(y = -4):}`

`<=>` `{(x = -7/2),(y = -4):}`

$\bullet$ `{(2x - 7 = 1),(y + 3 = 14):}`

`<=>` `{(2x = 8),(y = 11):}`

`<=>` `{(x = 4),(y = 11):}`

$\bullet$ `{(2x - 7 = 14),(y + 3 = 1):}`

`<=>` `{(2x = 21),(y = -2):}`

`<=>` `{(x = 21/2),(y = -2):}`

Vậy `:`

`( x ; y ) = ( 7 ; -1 ) ; ( 9/2 ; 4 ) ; ( 3 ; -17 ) ; ( -7/2 ; -4 ) ; ( 4 ; 11 ) ; ( 21/2 ; -2 )`

`x/7-1/2=1/(y+3)`

`= (2x - 7 )/14 = 1/( y + 3 )` 

`=> (2x - 7 )(y+3) = 14 ` 

`TH_1` 

`2x + 7 = 1 `

`x = ( 1- 7 ) : 2 `

`x = -3 `

`y + 3 = 14 `

`y = 11 ` 

`TH_2 ` 

`2x + 7 = 14 `

`x = ( 14 - 7 ) : 2 `

`x = 3,5 ` 

`y + 3 = 1 `

`y = -2 `

`TH_3` 

`2x + 7 = -14 `

`2x = -14 - 7 `

`x = -21 : 2 `

`x = -10,5` 

`y + 3 = -1 `

`y = -4` 

`TH_4`

`2x + 7 = -1 `

`2x = -1 - 7 `

`2x = -8 `

`x = -4 ` 

`y + 3 = -14 `

`y = -17 ` 

`TH_5` 

`2x + 7 = 7 `

`x = ( 7 - 7 ) : 2 `

`x = 0 ` 

`y + 3 = 2 `

`y = -1 `

`TH_6` 

`2x + 7 = 2 `

`2x = -5 `

`x = -2,5 ` 

`y + 3 = 7 `

`y = 4 ` 

`TH_7` 

`2x + 7 = -2 `

`2x = -9 `

`x = -4,5` 

`y + 3 = -7 `

`y = -10 `

`TH_8` 

`2x + 7 = -7 `

`2x = -14 `

`x = -7 `

`y + 3 = -2 `

`y = -5 ` 

`=>` 

`x ,y = ( - 3 ; 11 ) ; ( 3,5 ; -2 ) ; ( -10,5 ; -4 ) ; ( -4 ; - 17 ) ; ( 0 ; -1 ) ; ( -2,5 ; 4 ) ; ( -4,5 ; 4 ) ; (-7;-5)`