Respuesta :

Consider the equation ;

[tex]{:\implies \quad \sf -11-2\dfrac{1}{4}n=-\dfrac78}[/tex]

[tex]{:\implies \quad \sf -11-\dfrac{9}{4}n=-\dfrac78}[/tex]

After some manipulations in both sides, can further written as ;

[tex]{:\implies \quad \sf \dfrac{9}{4}n=\dfrac{7}{8}-11}[/tex]

[tex]{:\implies \quad \sf \dfrac{9}{4}n=\dfrac{7-88}{8}}[/tex]

[tex]{:\implies \quad \sf \dfrac{9}{4}n=-\dfrac{81}{8}}[/tex]

[tex]{:\implies \quad \sf n=-\dfrac{81}{8}\times \dfrac{4}{9}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{n=-\dfrac92}}}[/tex]

This is the required answer

Answer:

  n = -4 1/2

Step-by-step explanation:

This 2-step linear equation can be solved by first multiplying by -8 to eliminate fractions and make the signs positive.

  88 +18n = 7

  18n = -81 . . . . . . . . step 1: subtract 88

  n = -81/18 = -9/2 . . . . step 2: divide by the coefficient of n

The improper fraction can be written as a mixed number:

  n = -4 1/2