Solve frac{V_{B}-10}{95}+frac{V_{B}}{105}+frac{V_{B}-9.989}{10000}=0

$$\frac { V _ { B } - 10 } { 95 } + \frac { V _ { B } } { 105 } + \frac { V _ { B } - 9.989 } { 10000 } = 0$$

Solve for V_B

$$V_{B} = \frac{423985611}{80399000} = 5\frac{21990611}{80399000} \approx 5.273518464$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 3990000, the least common multiple of 95,105,10000.

$$42000\left(V_{B}-10\right)+38000V_{B}+399\left(V_{B}-9.989\right)=0$$

Use the distributive property to multiply 42000 by V_{B}-10.

$$42000V_{B}-420000+38000V_{B}+399\left(V_{B}-9.989\right)=0$$

Combine 42000V_{B} and 38000V_{B} to get 80000V_{B}.

$$80000V_{B}-420000+399\left(V_{B}-9.989\right)=0$$

Use the distributive property to multiply 399 by V_{B}-9.989.

$$80000V_{B}-420000+399V_{B}-3985.611=0$$

Combine 80000V_{B} and 399V_{B} to get 80399V_{B}.

$$80399V_{B}-420000-3985.611=0$$

Subtract 3985.611 from -420000 to get -423985.611.

$$80399V_{B}-423985.611=0$$

Add 423985.611 to both sides. Anything plus zero gives itself.

$$80399V_{B}=423985.611$$

Divide both sides by 80399.

$$V_{B}=\frac{423985.611}{80399}$$

Expand \frac{423985.611}{80399} by multiplying both numerator and the denominator by 1000.

$$V_{B}=\frac{423985611}{80399000}$$