Solve 3+0.8x=2.4*0.9r

$$3 + 0.8 x = 2.4 * 0.9 r$$

Solve for r

$$r=\frac{10x}{27}+\frac{25}{18}$$

Steps for Solving Linear Equation

Multiply 2.4 and 0.9 to get 2.16.

$$3+0.8x=2.16r$$

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

$$2.16r=3+0.8x$$

The equation is in standard form.

$$2.16r=\frac{4x}{5}+3$$

Divide both sides of the equation by 2.16, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{2.16r}{2.16}=\frac{\frac{4x}{5}+3}{2.16}$$

Dividing by 2.16 undoes the multiplication by 2.16.

$$r=\frac{\frac{4x}{5}+3}{2.16}$$

Divide 3+\frac{4x}{5} by 2.16 by multiplying 3+\frac{4x}{5} by the reciprocal of 2.16.

$$r=\frac{10x}{27}+\frac{25}{18}$$

Solve for x

$$x=\frac{27r}{10}-3.75$$

Steps for Solving Linear Equation

Multiply 2.4 and 0.9 to get 2.16.

$$3+0.8x=2.16r$$

Subtract 3 from both sides.

$$0.8x=2.16r-3$$

The equation is in standard form.

$$0.8x=\frac{54r}{25}-3$$

Divide both sides of the equation by 0.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.8x}{0.8}=\frac{\frac{54r}{25}-3}{0.8}$$

Dividing by 0.8 undoes the multiplication by 0.8.

$$x=\frac{\frac{54r}{25}-3}{0.8}$$

Divide \frac{54r}{25}-3 by 0.8 by multiplying \frac{54r}{25}-3 by the reciprocal of 0.8.

$$x=\frac{27r}{10}-\frac{15}{4}$$