Solve -b/2a=-(-0.3)/2(0.2)

$$- \frac { b } { 2 a } = - \frac { ( - 0.3 ) } { 2 ( 0.2 ) }$$

Solve for a

$$a=-\frac{2b}{3}$$

$$b\neq 0$$

Steps for Solving Linear Equation

Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 2a.

$$-b=-5a\left(-0.3\right)$$

Multiply 5 and -0.3 to get -1.5.

$$-b=-\left(-1.5a\right)$$

The opposite of -1.5a is 1.5a.

$$-b=1.5a$$

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

$$1.5a=-b$$

Divide both sides of the equation by 1.5, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.5a}{1.5}=-\frac{b}{1.5}$$

Dividing by 1.5 undoes the multiplication by 1.5.

$$a=-\frac{b}{1.5}$$

Divide -b by 1.5 by multiplying -b by the reciprocal of 1.5.

$$a=-\frac{2b}{3}$$

Variable a cannot be equal to 0.

$$a=-\frac{2b}{3}\text{, }a\neq 0$$

Solve for b

$$b=-\frac{3a}{2}$$

$$a\neq 0$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2a.

$$-b=-5a\left(-0.3\right)$$

Multiply 5 and -0.3 to get -1.5.

$$-b=-\left(-1.5a\right)$$

The opposite of -1.5a is 1.5a.

$$-b=1.5a$$

The equation is in standard form.

$$-b=\frac{3a}{2}$$

Divide both sides by -1.

$$\frac{-b}{-1}=\frac{3a}{-2}$$

Dividing by -1 undoes the multiplication by -1.

$$b=\frac{3a}{-2}$$

Divide \frac{3a}{2} by -1.

$$b=-\frac{3a}{2}$$