Solve 46.8x+106.3y=z

$$46.8 x + 106.3 y = z$$

Solve for x

$$x=\frac{5z}{234}-\frac{1063y}{468}$$

Steps for Solving Linear Equation

Subtract 106.3y from both sides.

$$46.8x=z-106.3y$$

The equation is in standard form.

$$46.8x=-\frac{1063y}{10}+z$$

Divide both sides of the equation by 46.8, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{46.8x}{46.8}=\frac{-\frac{1063y}{10}+z}{46.8}$$

Dividing by 46.8 undoes the multiplication by 46.8.

$$x=\frac{-\frac{1063y}{10}+z}{46.8}$$

Divide z-\frac{1063y}{10} by 46.8 by multiplying z-\frac{1063y}{10} by the reciprocal of 46.8.

$$x=\frac{5z}{234}-\frac{1063y}{468}$$

Solve for y

$$y=\frac{10z-468x}{1063}$$

Steps for Solving Linear Equation

Subtract 46.8x from both sides.

$$106.3y=z-46.8x$$

The equation is in standard form.

$$106.3y=-\frac{234x}{5}+z$$

Divide both sides of the equation by 106.3, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{106.3y}{106.3}=\frac{-\frac{234x}{5}+z}{106.3}$$

Dividing by 106.3 undoes the multiplication by 106.3.

$$y=\frac{-\frac{234x}{5}+z}{106.3}$$

Divide z-\frac{234x}{5} by 106.3 by multiplying z-\frac{234x}{5} by the reciprocal of 106.3.

$$y=\frac{10z-468x}{1063}$$