Solve 5-a=b(2)*46(5a)

$$5 - a = b ( 2 ) \times 46 ( 5 a )$$

Solve for a

$$a=\frac{5}{460b+1}$$

$$b\neq -\frac{1}{460}$$

Steps for Solving Linear Equation

Multiply 2 and 46 to get 92.

$$5-a=b\times 92\times 5a$$

Multiply 92 and 5 to get 460.

$$5-a=b\times 460a$$

Subtract b\times 460a from both sides.

$$5-a-b\times 460a=0$$

Multiply -1 and 460 to get -460.

$$5-a-460ba=0$$

Subtract 5 from both sides. Anything subtracted from zero gives its negation.

$$-a-460ba=-5$$

Combine all terms containing a.

$$\left(-1-460b\right)a=-5$$

The equation is in standard form.

$$\left(-460b-1\right)a=-5$$

Divide both sides by -1-460b.

$$\frac{\left(-460b-1\right)a}{-460b-1}=-\frac{5}{-460b-1}$$

Dividing by -1-460b undoes the multiplication by -1-460b.

$$a=-\frac{5}{-460b-1}$$

Divide -5 by -1-460b.

$$a=\frac{5}{460b+1}$$

Solve for b

$$b=-\frac{1}{460}+\frac{1}{92a}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Multiply 2 and 46 to get 92.

$$5-a=b\times 92\times 5a$$

Multiply 92 and 5 to get 460.

$$5-a=b\times 460a$$

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

$$b\times 460a=5-a$$

The equation is in standard form.

$$460ab=5-a$$

Divide both sides by 460a.

$$\frac{460ab}{460a}=\frac{5-a}{460a}$$

Dividing by 460a undoes the multiplication by 460a.

$$b=\frac{5-a}{460a}$$

Divide 5-a by 460a.

$$b=-\frac{1}{460}+\frac{1}{92a}$$