Question

How do you solve `-7\frac { 9} { 16} - 3\frac { 7} { 8} n = - 1\frac { 5} { 8} n + \frac { 1} { 2} n`?

Answer 1

`color(magenta)(n=-121/44` or `color(magenta)(-2.75`

Explanation:

`-7 9/16-3 7/8n=-1 5/8n+1/2n`

`:.-121/16-31/8n=-13/8+1/2n`

`:.(-121-62n=-26n+8n)/16`

multiply both sides by `16`

`:.-121-62n=-26n+8n`

`:.-62n+26n-8n=121`

`:.-44n=121`

`:.color(magenta)(n=-121/44` or `color(magenta)(-2.75`

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check:-

substitute `color(magenta)(n=-2.75`

`:.-7.5625-3.875(color(magenta)(-2.75))=-1.625(color(magenta)(-2.75))+1/2(-2.75)`

`:.-7.5625+10.65625=4.46875-1.375`

`:.color(magenta)(3.09375=3.09375`