Solve 2.7x+7.9y=3.74z

$$2.7x+7.9y=3.74z$$

Solve for x

$$x=\frac{187z}{135}-\frac{79y}{27}$$

Steps for Solving Linear Equation

Subtract 7.9y from both sides.

$$2.7x=3.74z-7.9y$$

The equation is in standard form.

$$2.7x=\frac{187z}{50}-\frac{79y}{10}$$

Divide both sides of the equation by 2.7, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{2.7x}{2.7}=\frac{\frac{187z}{50}-\frac{79y}{10}}{2.7}$$

Dividing by 2.7 undoes the multiplication by 2.7.

$$x=\frac{\frac{187z}{50}-\frac{79y}{10}}{2.7}$$

Divide \frac{187z}{50}-\frac{79y}{10} by 2.7 by multiplying \frac{187z}{50}-\frac{79y}{10} by the reciprocal of 2.7.

$$x=\frac{187z}{135}-\frac{79y}{27}$$

Solve for y

$$y=\frac{187z}{395}-\frac{27x}{79}$$

Steps for Solving Linear Equation

Subtract 2.7x from both sides.

$$7.9y=3.74z-2.7x$$

The equation is in standard form.

$$7.9y=\frac{187z}{50}-\frac{27x}{10}$$

Divide both sides of the equation by 7.9, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{7.9y}{7.9}=\frac{\frac{187z}{50}-\frac{27x}{10}}{7.9}$$

Dividing by 7.9 undoes the multiplication by 7.9.

$$y=\frac{\frac{187z}{50}-\frac{27x}{10}}{7.9}$$

Divide \frac{187z}{50}-\frac{27x}{10} by 7.9 by multiplying \frac{187z}{50}-\frac{27x}{10} by the reciprocal of 7.9.

$$y=\frac{187z}{395}-\frac{27x}{79}$$