Describe the similarities and differences in solving example 6? Example 6: x/2+15=5 X=40 Example 8: 4+x/5=7 x=15 *Please check if I solved example 6 correctly. Thanks so much :)

1 Answer
Dec 12, 2017

Answer:

You are doing example 6 in a wrong way. See the explanations.

Explanation:

Both equations have similarities that the coefficient of #x# is a fraction.

Then, you should multiply both sides by the denominator to make the problem easier.
In Example 6,
#2(x/2+15)=2*5#
#x+30=10#

In Example 8,
#5(4+x/5)=5*7#
#20+x=35#

The difference lies in whether #x# is positive or negative.
In Example 6, substract 30 from both sides.
#x+30-30=10-30#
#x=-20#

Example 8 is correct. Then, how can we get to the answer #x=15#? I will leave it unexplained for your practice.