Introduction to Elementary AlgebraHelp on solving algebra math problemsSimple step by step method |

As 5 divided by 5 is equal to 1 both fives disappear.

The result is that we keep the x alone, as we wanted.

**Case 3.**

Another example follows:

The result is that we keep the x alone, as we wanted.

How can we get rid of the 3 so we keep only the x?

Well, if the number 3 is multiplying by x … we simply divide by 3 to get

Well, if the number 3 is multiplying by x … we simply divide by 3 to get

Because 3 divided by 3 is equal to 1 we get x alone.

How can we get rid of the 5 so we keep only the x?

The x is being divided by 5. In this case we multiply also by 5.

The x is being divided by 5. In this case we multiply also by 5.

How can we get rid of the 7 so we keep only the x?

The x is being added 7 units so we make just the opposite: we subtract 7 units.

The x is being added 7 units so we make just the opposite: we subtract 7 units.

Because 7 – 7 is equal to zero both sevens disappear.

The x alone again.

**Case 4.**

This next example might seem difficult but it is actually very

simple

The x alone again.

simple

Well, ‘x’ is being multiplied by 7/3. We must take the necessary action to

make the 7/3 disappear.

We ask ourselves: What is the opposite of 7/3?

Answer: Just invert the numbers. The answer is 3/7

Let’s do it

make the 7/3 disappear.

We ask ourselves: What is the opposite of 7/3?

Answer: Just invert the numbers. The answer is 3/7

Let’s do it

Because 3/7 multiplied by 7/3 is equal to 1 we keep only the ‘x’.

What we just made is the same as dividing 7/3 by 7/3 which could also be

done and is also equal to 1. Again we are using the opposite operation.

**Case 5.**

Last example:

What we just made is the same as dividing 7/3 by 7/3 which could also be

done and is also equal to 1. Again we are using the opposite operation.

How can we get rid of the -2 so we keep only the x?

The x is being subtracted 2 units so we make just the opposite: we add 2 units.

The x is being subtracted 2 units so we make just the opposite: we add 2 units.

Because -2 + 2 is equal to zero both 'twos' disappear.

The x is alone again.

What we did in all 4 cases was simply using the**opposite** operations using the same

numbers that were near the x.

The x is alone again.

What we did in all 4 cases was simply using the

numbers that were near the x.