Answer/Discussion on Solving Linear Equations

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Beginning Algebra
Answer/Discussion to Practice Problems
on Solving Linear Equations

Answer/Discussion to 1a

*Remove ( ) by using dist. prop.

*Inverse of add. 27 is sub. 27

*Inverse of mult. by -7 is div. by -7

If you put 4 back in for x in the original problem you will see that 4 is the solution we are looking for.

Answer/Discussion to 1b

*To get rid of the fractions,
mult. both sides by the LCD of 8

*Get all the x terms on one side

*Inverse of sub. 1 is add. 1

If you put - 4 back in for x in the original problem you will see that - 4 is the solution we are looking for.

Answer/Discussion to 1c

*To get rid of the decimals,
mult. both sides by 100

*Get all the a terms on one side

*Inverse of sub. 5 is add. 5

*Inverse of mult. by 5 is div. by 5

If you put 4 back in for a in the original problem you will see that 4 is the solution we are looking for.

Answer/Discussion to 1d

*Remove ( ) by using dist. prop.

*Get all the x terms on one side

This time when our variable dropped out, we ended up with a FALSE statement. Whenever that happens your answer is NO SOLUTION.

So, the answer is no solution.

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