Solve 10.6y=9x-1

$$10.6 y = 9 x - 1$$

Solve for x

$$x=\frac{53y}{45}+\frac{1}{9}$$

Steps for Solving Linear Equation

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

$$9x-1=10.6y$$

Add 1 to both sides.

$$9x=10.6y+1$$

The equation is in standard form.

$$9x=\frac{53y}{5}+1$$

Divide both sides by 9.

$$\frac{9x}{9}=\frac{\frac{53y}{5}+1}{9}$$

Dividing by 9 undoes the multiplication by 9.

$$x=\frac{\frac{53y}{5}+1}{9}$$

Divide \frac{53y}{5}+1 by 9.

$$x=\frac{53y}{45}+\frac{1}{9}$$

Solve for y

$$y=\frac{45x-5}{53}$$

Steps for Solving Linear Equation

The equation is in standard form.

$$10.6y=9x-1$$

Divide both sides of the equation by 10.6, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{10.6y}{10.6}=\frac{9x-1}{10.6}$$

Dividing by 10.6 undoes the multiplication by 10.6.

$$y=\frac{9x-1}{10.6}$$

Divide 9x-1 by 10.6 by multiplying 9x-1 by the reciprocal of 10.6.

$$y=\frac{45x-5}{53}$$