What is the answer to 2/3-7/9 j+1/3 j-1/9 =2-j ?

The answer to 2/3-7/9 j+1/3 j-1/9 =2-j is j= 13/5

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2/3-7/9 j+1/3 j-1/9 =2-j

\frac{2}{3} - \frac{7}{9} j + \frac{1}{3} j - \frac{1}{9} = 2 - j

j = \frac{13}{5}

Decimal Notation

j = 2.6

Solution steps

\frac{2}{3} - \frac{7}{9} j + \frac{1}{3} j - \frac{1}{9} = 2 - j

Group like terms

- \frac{7}{9} j + \frac{1}{3} j + \frac{2}{3} - \frac{1}{9} = 2 - j

Combine the fractions

\frac{2}{3} - \frac{1}{9} : \frac{5}{9}

\frac{5}{9} - \frac{7}{9} j + \frac{1}{3} j = 2 - j

Move

\frac{5}{9}

to the right side

- \frac{7}{9} j + \frac{1}{3} j = - j + \frac{13}{9}

Move

j

to the left side

\frac{5}{9} j = \frac{13}{9}

Multiply both sides by

9

5 j = 13

Divide both sides by

5

j = \frac{13}{5}

3 (x + (- 2)) = - 15

x, - 4 x + 2 y = 16

x, x + y = 24

y, x = 17 - 4 y

x, 5 x + y = 8

What is the answer to 2/3-7/9 j+1/3 j-1/9 =2-j ?
The answer to 2/3-7/9 j+1/3 j-1/9 =2-j is j= 13/5
Solve for j: 2/3-7/9 j+1/3 j-1/9 =2-j
The solution is j= 13/5