Solve 870=960343/343+V_{5}

$$870 = 960 \frac { 343 } { 343 + V _ { 5 } }$$

Solve for V_5

$$V_{5} = \frac{1029}{29} = 35\frac{14}{29} \approx 35.482758621$$

Steps for Solving Linear Equation

Divide both sides by 960.

$$\frac{870}{960}=\frac{343}{343+V_{5}}$$

Reduce the fraction \frac{870}{960} to lowest terms by extracting and canceling out 30.

$$\frac{29}{32}=\frac{343}{343+V_{5}}$$

Variable V_{5} cannot be equal to -343 since division by zero is not defined. Multiply both sides of the equation by 32\left(V_{5}+343\right), the least common multiple of 32,343+V_{5}.

$$29\left(V_{5}+343\right)=32\times 343$$

Use the distributive property to multiply 29 by V_{5}+343.

$$29V_{5}+9947=32\times 343$$

Multiply 32 and 343 to get 10976.

$$29V_{5}+9947=10976$$

Subtract 9947 from both sides.

$$29V_{5}=10976-9947$$

Subtract 9947 from 10976 to get 1029.

$$29V_{5}=1029$$

Divide both sides by 29.

$$V_{5}=\frac{1029}{29}$$