How do you solve #-7( 7n + 7) + 5h = 27- 6n#?

1 Answer
Somebody N.
Sep 22, 2017

See below.

Explanation:

#-7(7n + 7)+ 5h = 27 - 6n#

This equation has an infinite number of solutions because you have 2 variables, and only 1 equation.( It could be you miss typed and put #h# instead of #n#).

This is for infinite the number of solutions.

We need to find 1 of the variables in terms of the other. In this case we will find #h# in terms of #n#:

Expanding bracket:

#-49n -49 + 5h= 27 -6n#

Adding #49n# to both sides:

#-49 + 5h = 27 + 43n#

Adding #49# to both sides:

#5h= 76 + 43n#

Dividing by 5:

#h = (76+43n)/5#

Solutions in coordinate form will be:

#( n , h )#

#( n , (76+43n)/5)#

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