Giải các ph trình sau:
c) 7/8x-5(x-9)=20x+1,5/6
d)7x-1/6+2x=16-x/5
2 câu trả lời
Đáp án :
`a) 538/88 `
`b) 1 `
Giải thích các bước giải:
`c) 7/8 x - 5( x - 9 ) = `$\dfrac{20x + 1,5}{6}$
`=> 21x - 120 ( x - 9 ) = 4 ( 20x + 1,5 ) `
`<=> 21x - 120x + 1080 = 80x + 6 `
`<=> - 99x + 1080 = 80x + 6 `
`<=> - 99x - 80x = 6 - 1080`
`<=> - 179x = - 1074 `
`<=> x = ( - 1074 ) : ( - 179 ) `
`<=> x = 6`
Vậy `S = { 6 }`
`d )` $\dfrac{7x - 1 }{6}$`+ 2x = `$\dfrac{16 - x}{5}$
`<=>` $\dfrac{5( 7x - 1 )}{30}$` + 60x = `$\dfrac{6 ( 16 - x )}{30}$
`=> 5( 7x - 1 ) + 60x = 6( 16 - x ) `
`<=> 35x - 5 + 60x = 96 - 6x `
`<=> 95x - 5 = 96 - 6x `
`<=> 95x + 6x = 96 + 5 `
`<=> 101x = 101`
`<=> x = 101 : 101`
`<=> x = 1`
Vậy `S = { 1 }`
c) `7/8x-5(x-9)={20x+1,5}/6`
`↔0,875x-5x+45={20x+1,5}/6`
`↔{5,25x}/6-{30x}/6+{270}/6={20x+1,5}/6`
`→5,25x-30x+270=20x+1,5`
`↔5,25x-30x-20x=1,5-270`
`↔-44,75x=-268,5`
`↔x=6`
d) `{7x-1}/6+2x={16-x}/5`
`↔{5(7x-1)}/{30}+{60x}/{30}={6(16-x)}/{30}`
`→5(7x-1)+60x=6(16-x)`
`↔35x-5+60x=96-6x`
`↔35x+60x+6x=96+5`
`↔101x=101`
`↔x=1`