IXL | Solve multi-step equations with fractional coefficients | 8th grade math

or

Solve for

j

.

–

2

+

3

4

j

+

1

2

j

=

2

j

j

=

ref_doc_title.

or

Learn with an example

question

Solve for

h

.

1

2

h

–

3

=

3

2

–

3

h

h

=

solution

To solve for

h,

look at the equation and make a plan.

1

2

h

–

3

=

3

2

–

3

h

To make the equation easier to solve, you can rewrite it without fractions. Multiply both sides of the equation by the common denominator, 2.

2

1

2

h

–

3

=

Multiply both sides by 2

2

3

2

–

3

h

Multiply both sides by 2

h

–

6

=

Distribute

3

–

6

h

Distribute

7

h

–

6

=

Add

6

h

to both sides

3

Add

6

h

to both sides

7

h

=

Add 6 to both sides

9

Add 6 to both sides

h

=

Divide both sides by 7

9

7

Divide both sides by 7

Looking for more? Try these:

Lesson: Multi-step equations

or

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Work it out

Not feeling ready yet? These can help:

M.15Solve equations using the distributive property

M.12Solve equations with variables on both sides

Lesson: Multi-step equations