Solve 4.2*4x+4.2y+9.3*z=4000

$$4.2 \times 4x+4.2y+9.3 \times z=4000$$

Solve for x

$$x=-\frac{y}{4}-\frac{31z}{56}+\frac{5000}{21}$$

Steps for Solving Linear Equation

Multiply 4.2 and 4 to get 16.8.

$$16.8x+4.2y+9.3z=4000$$

Subtract 4.2y from both sides.

$$16.8x+9.3z=4000-4.2y$$

Subtract 9.3z from both sides.

$$16.8x=4000-4.2y-9.3z$$

The equation is in standard form.

$$16.8x=-\frac{21y}{5}-\frac{93z}{10}+4000$$

Divide both sides of the equation by 16.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{16.8x}{16.8}=\frac{-\frac{21y}{5}-\frac{93z}{10}+4000}{16.8}$$

Dividing by 16.8 undoes the multiplication by 16.8.

$$x=\frac{-\frac{21y}{5}-\frac{93z}{10}+4000}{16.8}$$

Divide 4000-\frac{21y}{5}-\frac{93z}{10} by 16.8 by multiplying 4000-\frac{21y}{5}-\frac{93z}{10} by the reciprocal of 16.8.

$$x=-\frac{y}{4}-\frac{31z}{56}+\frac{5000}{21}$$

Solve for y

$$y=-\frac{31z}{14}-4x+\frac{20000}{21}$$

Steps for Solving Linear Equation

Multiply 4.2 and 4 to get 16.8.

$$16.8x+4.2y+9.3z=4000$$

Subtract 16.8x from both sides.

$$4.2y+9.3z=4000-16.8x$$

Subtract 9.3z from both sides.

$$4.2y=4000-16.8x-9.3z$$

The equation is in standard form.

$$4.2y=-\frac{84x}{5}-\frac{93z}{10}+4000$$

Divide both sides of the equation by 4.2, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{4.2y}{4.2}=\frac{-\frac{84x}{5}-\frac{93z}{10}+4000}{4.2}$$

Dividing by 4.2 undoes the multiplication by 4.2.

$$y=\frac{-\frac{84x}{5}-\frac{93z}{10}+4000}{4.2}$$

Divide 4000-\frac{84x}{5}-\frac{93z}{10} by 4.2 by multiplying 4000-\frac{84x}{5}-\frac{93z}{10} by the reciprocal of 4.2.

$$y=-\frac{31z}{14}-4x+\frac{20000}{21}$$