Solve for variable 2/3 + 4m/3 = 34/3

M=8 2

+

3



4m

=

3



34



2 Join the denominators.

2

+

4

m

3

=

3

4

3

3



2+4m

=

3



34



3 Factor out the common term

2

2.

2

(

1

+

2

m

)

3

=

3

4

3

3



2 (1+2m)

=

3



34



4 Multiply both sides by

3

3.

2

(

1

+

2

m

)

=

3

4

3

*

3

2 (1+2m) =

3



34

* 3

5 Simplify

3

4

3

*

3

3



34

* 3 to

1

0

2

3

3



102

.

2

(

1

+

2

m

)

=

1

0

2

3

2 (1+2m) =

3



102



6 Simplify

1

0

2

3

3



102

to

3

4

34.

2

(

1

+

2

m

)

=

3

4

2 (1+2m) = 34

7 Divide both sides by

2

2.

1

+

2

m

=

3

4

2

1+2m=

2



34



8 Simplify

3

4

2

2



34

to

1

7

17.

1

+

2

m

=

1

7

1+2m=17

9 Subtract

1

1 from both sides.

2

m

=

1

7

-

1

2m=17-1

10 Simplify

1

7

-

1

17-1 to

1

6

16.

2

m

=

1

6

2m=16

11 Divide both sides by

2

2.

m

=

1

6

2

m=

2



16



12 Simplify

1

6

2

2



16

to

8

8.

M=8