What is the answer to (u-3)/(u-2)= 4/(u+4) ?

The answer to (u-3)/(u-2)= 4/(u+4) is u=4,u=-1

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(u-3)/(u-2)= 4/(u+4)

\frac{u - 3}{u - 2} = \frac{4}{u + 4}

u = 4, u = - 1

Solution steps

\frac{u - 3}{u - 2} = \frac{4}{u + 4}

Cross multiply

(u - 3) (u + 4) = (u - 2) \cdot 4

Solve

(u - 3) (u + 4) = (u - 2) \cdot 4 : u = 4, u = - 1

u = 4, u = - 1

Verify Solutions

Find undefined (singularity) points:

u = 2, u = - 4

Combine undefined points with solutions:

u = 4, u = - 1

6 = 9 \frac{x}{x + 1}

y, x = \frac{1}{y + 1}

\frac{1}{0.5} = \frac{10}{z}

\frac{x}{2 - x} = 2 - x

\frac{1}{2} - \frac{12}{x + 3} = 4

What is the answer to (u-3)/(u-2)= 4/(u+4) ?
The answer to (u-3)/(u-2)= 4/(u+4) is u=4,u=-1
Solve for u: (u-3)/(u-2)= 4/(u+4)
The solution is u=4,u=-1