Question

Solve -11 - 2 1/4n = -7/8.

Find the value of n.

Answer 1

n = -4 1/2

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

Answer 2

Consider the equation ;

`{:\implies \quad \sf -11-2(1)/(4)n=-\frac78}`

`{:\implies \quad \sf -11-(9)/(4)n=-\frac78}`

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

`{:\implies \quad \sf (9)/(4)n=(7)/(8)-11}`

`{:\implies \quad \sf (9)/(4)n=(7-88)/(8)}`

`{:\implies \quad \sf (9)/(4)n=-(81)/(8)}`

`{:\implies \quad \sf n=-(81)/(8)* (4)/(9)}`

`{:\implies \quad \bf \therefore \quad \underline{\underline{n=-\frac92}}}`

This is the required answer