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)`