How do you solve #\frac{k - 4}{6} = \frac{5}{7}#?

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Answer 1 · 2016-09-17T21:05:04

#k=58/7# or #8 2/7#

Solve #(k-4)/6=5/7#

Cross multiply.

#7(k-4)=5xx6#

Expand the left-hand side by using the distributive property.

#7k-28=5xx6#

Simplify the right-hand side.

#7k-28=30#

Add #28# to both sides.

#7k=30+28#

Simplify.

#7k=58#

Divide both sides by #7#.

#k=58/7# or #8 2/7#