Pre-Algebra assist » Algebraic Equations » Two-Step Equations » Two-Step Equations with Fractions

Solve for 

*
:

*


*


*


*


*


Explanation:

The goal is to isolate the change on one side.

*

Subtract 

*
 from every side that the equation:

*

*

Multiply both political parties by 

*
:

*


Explanation:

The score is to isolate the variable to one side.

You are watching: Two step equations that equal 16

*

First, convert mixed number to improper fractions:

*

Subtract 

*
 from both sides:

*

*

Multiply each side by the mutual of 

*
:

*

Cross out favor terms and multiply:

*

*

 


Step 1: Add 

*
come both sides:

 

*

*

*

Step 2: add

*
come
*
. Remember that when you include fractions, you have to find typical denominator. The common denominator because that
*
and also
*
is
*
.
*
i do not care
*
once you main point both the numerator and also the denominator by
*
. Similarly,
*
i do not care
*
once you multiply both the numerator and the denominator through
*
.

*

*

*

Step 3: Multiply both political parties of the equation through the reciprocal of 

*
:

*

*

*

Step 4: leveling the portion by dividing the numerator and the denominator through the Greatest usual Factor (GCF). The GCF that

*
and also
*
is
*
:

*

*


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Example inquiry #1 : Two step Equations through Fractions


Solve for

*
:

 

*


Possible Answers:
Correct answer:

*


Explanation:

You space trying to isolate the

*

To perform this friend must an initial subtract both sides by 2 come get

*

This climate becomes a one-step difficulty where you multiply both sides by 2 to get

*


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Example inquiry #1 : Two action Equations through Fractions


Solve because that x:

*


Possible Answers:
Correct answer:

*


Explanation:

Once you"ve isolated x, it"s vital to discover the lowest typical denominator so that you deserve to add the 2 fractions you"re functioning with. 

Step 1: isolation x and also convert fountain so that they have a typical denominator

*

*

Step 2: solve for x

*


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Example question #2 : Two action Equations v Fractions


Solve for

*
.

*


Possible Answers:
Correct answer:

*


Explanation:

Cross multiplication is a short-cut that comes from multiplying through the denominators on both sides of an equation. Damaged down, it works choose this:

*

The 4"s ~ above the left next of the equation cancel out.

*

Now, carry out the very same with the denominator ~ above the ideal side.

*

The

*
"s on the best cancel out.

*

This is just the an outcome of removed the denominators, climate multiplying them on opposing sides, i.e. Cross multiplication.

Now, to finish solving for

*
, simplify both sides.

*

Then take it the square root to finish.

*

*

 

 

 

 


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Example question #7 : Two step Equations v Fractions


Solve because that

*
:

*


Possible Answers:
Correct answer:

*


Explanation:

*

*

*

*

*


Report one Error

Example inquiry #1 : Two step Equations with Fractions


Solve because that

*
.

*


Possible Answers:
Correct answer:

*


Explanation:

First, you desire to leaving all terms with x ~ above one side and also all other terms top top the other side. To execute this, we can subtract 4/3 from both sides. 

We currently have 

*

We can now multiply both sides by the mutual of 2/5, which is 5/2, to be able to solve for just x.

*


Report an Error

Example inquiry #1 : Two action Equations with Fractions


Solve for 

*
:


Possible Answers:
Correct answer:

*


Explanation:

Explanation:

The score is to isolate the change to one side.

*

First, transform the combined numbers come improper fractions:

*

Subtract 

*
from both sides:

*

*

Multiply every side by the reciprocal of 

*
:

*

*


Report one Error

Example concern #1 : Two step Equations through Fractions


Solve for "

*
"


Possible Answers:
Correct answer:

*


Explanation:

1.) add 8 to both sides, removing the "

*
". It now reads 
*

2.) main point both sides by 2, remove the

*
. It now reads 
*

3.) Subtract

*
 from both sides, removed the "
*
". It now reads 
*

4.) division both sides by "

*
", resulting in 
*


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