What is the answer to (j+4)/(j+2)=2-1/j ?

The answer to (j+4)/(j+2)=2-1/j is j=2,j=-1

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(j+4)/(j+2)=2-1/j

\frac{j + 4}{j + 2} = 2 - \frac{1}{j}

j = 2, j = - 1

Solution steps

\frac{j + 4}{j + 2} = 2 - \frac{1}{j}

Multiply by LCM

j (j + 4) = 2 j (j + 2) - (j + 2)

Solve

j (j + 4) = 2 j (j + 2) - (j + 2) : j = 2, j = - 1

j = 2, j = - 1

Verify Solutions

Find undefined (singularity) points:

j = - 2, j = 0

Combine undefined points with solutions:

j = 2, j = - 1

- \frac{2 y - 4}{y + 7} = \frac{1}{3}

u - \frac{2}{u} = 1

\frac{4}{1 + 3 y} = \frac{5}{44 - y}

8 x^{2} = \frac{1}{2 x}

\frac{5 x + 2}{x + 1} = 4.83

What is the answer to (j+4)/(j+2)=2-1/j ?
The answer to (j+4)/(j+2)=2-1/j is j=2,j=-1
Solve for j: (j+4)/(j+2)=2-1/j
The solution is j=2,j=-1