IXL | Solve equations with variables on both sides: fractional coefficients

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Learn with an example

question

Solve for

r

.

1

3

+

5

3

r

–

r

=

2

r

=

solution

To solve for

r,

look at the equation and make a plan.

1

3

+

5

3

r

–

r

=

2

r

To make the equation easier to solve, you can rewrite it without fractions. Multiply both sides of the equation by the common denominator, 3.

3

1

3

+

5

3

r

–

r

=

Multiply both sides by 3

3

(

2

r

)

Multiply both sides by 3

1

+

5

r

–

3

r

=

Distribute

6

r

Distribute

1

+

2

r

=

Combine like terms

6

r

Combine like terms

1

=

Subtract

2

r

from both sides

4

r

Subtract

2

r

from both sides

1

4

=

Divide both sides by 4

r

Divide both sides by 4

Looking for more? Try these:

Lesson: Multi-step equations

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