Solve u=3/11u+1/4u+4200

$$u = \frac{ 3 }{ 11 } u+ \frac{ 1 }{ 4 } u+4200$$

Solve for u

$$u=8800$$

Steps for Solving Linear Equation

Combine \frac{3}{11}u and \frac{1}{4}u to get \frac{23}{44}u.

$$u=\frac{23}{44}u+4200$$

Subtract \frac{23}{44}u from both sides.

$$u-\frac{23}{44}u=4200$$

Combine u and -\frac{23}{44}u to get \frac{21}{44}u.

$$\frac{21}{44}u=4200$$

Multiply both sides by \frac{44}{21}, the reciprocal of \frac{21}{44}.

$$u=4200\times \frac{44}{21}$$

Express 4200\times \frac{44}{21} as a single fraction.

$$u=\frac{4200\times 44}{21}$$

Multiply 4200 and 44 to get 184800.

$$u=\frac{184800}{21}$$

Divide 184800 by 21 to get 8800.

$$u=8800$$