Solve beta=0.5/42-42p=

$$\beta = 0.5 / 42 - 42 p =$$

Solve for p

$$p=-\frac{\beta }{42}+\frac{1}{3528}$$

Steps for Solving Linear Equation

Expand \frac{0.5}{42} by multiplying both numerator and the denominator by 10.

$$\beta =\frac{5}{420}-42p$$

Reduce the fraction \frac{5}{420} to lowest terms by extracting and canceling out 5.

$$\beta =\frac{1}{84}-42p$$

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

$$\frac{1}{84}-42p=\beta$$

Subtract \frac{1}{84} from both sides.

$$-42p=\beta -\frac{1}{84}$$

Divide both sides by -42.

$$\frac{-42p}{-42}=\frac{\beta -\frac{1}{84}}{-42}$$

Dividing by -42 undoes the multiplication by -42.

$$p=\frac{\beta -\frac{1}{84}}{-42}$$

Divide \beta -\frac{1}{84} by -42.

$$p=-\frac{\beta }{42}+\frac{1}{3528}$$

Solve for β

$$\beta =\frac{1}{84}-42p$$

Solution Steps

Expand \frac{0.5}{42} by multiplying both numerator and the denominator by 10.

$$\beta =\frac{5}{420}-42p$$

Reduce the fraction \frac{5}{420} to lowest terms by extracting and canceling out 5.

$$\beta =\frac{1}{84}-42p$$