Answer:
x = 535 + 3/4n Over 8 --> Or in simplified form --> 66.875 + 3/32n
y = -166 / 3-4n
Step-by-step explanation:
1-) To find y, we will have to get rid of x in one of the equation.
So, we will multiply first equation by -4.
> -4 ( 2x + ny ) = -4 ( 51 )
> -8x - 4ny = -204
Then we will use the elimination method.
> -8x - 4ny = -204
8x + 3y = 38
+ -----------------------
> 3y - 4ny = -166
To isolate y, we will factor it out.
> y ( 3 - 4n ) = -166
Finally, we will divide ( 3 - 4n ) from both sides to achieve our desired result that the question asks.
> y = -166 / 3 - 4n
2-) To find x, we will substitute our y result into the second equation.
> 8x + 3 ( -166 / 3 - 4n ) = 38
> 8x - 498 + 1 - 3/4n = 38
> 8x - 497 - 3/4n = 38
> 8x - 3/4n = 535
> 8x = 535 + 3/4n
> x = 535 + 3/4n Over 8
> x = 535/8 + 3/32n
> x = 66.875 + 3/32n
It looks messy but I hope it will be understood.
If I have any inaccuracies please let me know.
Have a nice day and never stop questioning!
