Solve 70,000=20250/323x+b

$$70,000 = \frac { 20250 } { 323 } x + b$$

Solve for b

$$b=-\frac{20250x}{323}+70000$$

Solution Steps

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

$$\frac{20250}{323}x+b=70000$$

Subtract \frac{20250}{323}x from both sides.

$$b=70000-\frac{20250}{323}x$$

Solve for x

$$x=-\frac{323b}{20250}+\frac{90440}{81}$$

Steps for Solving Linear Equation

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

$$\frac{20250}{323}x+b=70000$$

Subtract b from both sides.

$$\frac{20250}{323}x=70000-b$$

Divide both sides of the equation by \frac{20250}{323}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{20250}{323}x}{\frac{20250}{323}}=\frac{70000-b}{\frac{20250}{323}}$$

Dividing by \frac{20250}{323} undoes the multiplication by \frac{20250}{323}.

$$x=\frac{70000-b}{\frac{20250}{323}}$$

Divide 70000-b by \frac{20250}{323} by multiplying 70000-b by the reciprocal of \frac{20250}{323}.

$$x=-\frac{323b}{20250}+\frac{90440}{81}$$