Question

\(a,\dfrac{7}{12}-\dfrac{1}{4}:\left(\dfrac{-4}{11}-x\right)=-125\%\)

\(b,\left(x-\sqrt{\dfrac{49}{169}}\right):2\dfrac{3}{11}+0,6=0,16\)

\(c,\dfrac{-2}{3}-\left[\left(7,2-\dfrac{2}{5}\right).x-\dfrac{3}{13}\right]=1\dfrac{1}{15}\)

Answer 1

`a) 7/12 - 1/4 :( -4/11 - x) = -125%`

`<=> 1/4 :(-4/11 - x) = 7/12 + 125%`

`<=> 1/4:(-4/11 -x ) = 7/12 + 15/12 = 22/12 `

`<=> -4/11 -x = 1/4 : 22/12 = 1/4: 11/6`

`<=>-4/11 -x = 3/22`

`=> x = -4/11 - 3/22 = -8/22 -3/22`

` x = -11/22 = -1/2`

`b) (x - sqrt{49/169} ) :2 3/11 + 0,6 = 0,16`

`<=>(x- 7/13) : 25/11= 0,16 - 0,6 =-0,44`

`<=>(x- 7/13) : 25/11 = -11/25`

`<=> x - 7/13 = -11/15 * 25/11 = -1`

`<=> x = -1 + 7/13 = -13/13 +7/13`

`<=> x = -6/13 `

`c)-2/3 * [(7,2 - 2/5) * x -3/13] = 1 1/15`

`<=> -2/3 * [(36/5 - 2/5 )*x - 3/13 ] = 16/15`

`<=>  [(36/5 - 2/5 )*x - 3/13 ] = 16/15 : (-2/3)`

`<=>34/5 *x - 3/13 = -8/5`

`<=> 34/5* x = -8/5 + 3/13`

`<=>  34/5* x = =-89/65`

`<=> x = -89/65 : 34/5 = -89/442`