Solve 10=omega1.6729+left(1-omegaright)0.001044

$$10 = \omega 1.6729+ \left( 1- \omega \right) 0.001044$$

Solve for ω

$$\omega =\frac{56075\omega _{1}}{87}-\frac{2499739}{261}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1-\omega by 0.001044.

$$10=\omega _{1}\times 0.6729+0.001044-0.001044\omega$$

Swap sides so that all variable terms are on the left hand side.

$$\omega _{1}\times 0.6729+0.001044-0.001044\omega =10$$

Subtract \omega _{1}\times 0.6729 from both sides.

$$0.001044-0.001044\omega =10-\omega _{1}\times 0.6729$$

Subtract 0.001044 from both sides.

$$-0.001044\omega =10-\omega _{1}\times 0.6729-0.001044$$

Multiply -1 and 0.6729 to get -0.6729.

$$-0.001044\omega =10-0.6729\omega _{1}-0.001044$$

Subtract 0.001044 from 10 to get 9.998956.

$$-0.001044\omega =9.998956-0.6729\omega _{1}$$

The equation is in standard form.

$$-0.001044\omega =-\frac{6729\omega _{1}}{10000}+9.998956$$

Divide both sides of the equation by -0.001044, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{-0.001044\omega }{-0.001044}=\frac{-\frac{6729\omega _{1}}{10000}+9.998956}{-0.001044}$$

Dividing by -0.001044 undoes the multiplication by -0.001044.

$$\omega =\frac{-\frac{6729\omega _{1}}{10000}+9.998956}{-0.001044}$$

Divide 9.998956-\frac{6729\omega _{1}}{10000} by -0.001044 by multiplying 9.998956-\frac{6729\omega _{1}}{10000} by the reciprocal of -0.001044.

$$\omega =\frac{56075\omega _{1}}{87}-\frac{2499739}{261}$$

Solve for ω_1

$$\omega _{1}=\frac{87\omega }{56075}+\frac{2499739}{168225}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1-\omega by 0.001044.

$$10=\omega _{1}\times 0.6729+0.001044-0.001044\omega$$

Swap sides so that all variable terms are on the left hand side.

$$\omega _{1}\times 0.6729+0.001044-0.001044\omega =10$$

Subtract 0.001044 from both sides.

$$\omega _{1}\times 0.6729-0.001044\omega =10-0.001044$$

Subtract 0.001044 from 10 to get 9.998956.

$$\omega _{1}\times 0.6729-0.001044\omega =9.998956$$

Add 0.001044\omega to both sides.

$$\omega _{1}\times 0.6729=9.998956+0.001044\omega$$

The equation is in standard form.

$$0.6729\omega _{1}=\frac{261\omega +2499739}{250000}$$

Divide both sides of the equation by 0.6729, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.6729\omega _{1}}{0.6729}=\frac{261\omega +2499739}{0.6729\times 250000}$$

Dividing by 0.6729 undoes the multiplication by 0.6729.

$$\omega _{1}=\frac{261\omega +2499739}{0.6729\times 250000}$$

Divide \frac{2499739+261\omega }{250000} by 0.6729 by multiplying \frac{2499739+261\omega }{250000} by the reciprocal of 0.6729.

$$\omega _{1}=\frac{87\omega }{56075}+\frac{2499739}{168225}$$