Solve y_{R}+1=1.46x_{n}-0.0108

$$y _ { R } + 1 = 1.46 x _ { n } - 0.0108$$

Solve for x_n

$$x_{n}=\frac{50y_{R}}{73}+\frac{2527}{3650}$$

Steps for Solving Linear Equation

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

$$1.46x_{n}-0.0108=y_{R}+1$$

Add 0.0108 to both sides.

$$1.46x_{n}=y_{R}+1+0.0108$$

Add 1 and 0.0108 to get 1.0108.

$$1.46x_{n}=y_{R}+1.0108$$

Divide both sides of the equation by 1.46, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.46x_{n}}{1.46}=\frac{y_{R}+1.0108}{1.46}$$

Dividing by 1.46 undoes the multiplication by 1.46.

$$x_{n}=\frac{y_{R}+1.0108}{1.46}$$

Divide y_{R}+1.0108 by 1.46 by multiplying y_{R}+1.0108 by the reciprocal of 1.46.

$$x_{n}=\frac{50y_{R}}{73}+\frac{2527}{3650}$$

Solve for y_R

$$y_{R}=\frac{73x_{n}}{50}-1.0108$$

Solution Steps

Subtract 1 from both sides.

$$y_{R}=1.46x_{n}-0.0108-1$$

Subtract 1 from -0.0108 to get -1.0108.

$$y_{R}=1.46x_{n}-1.0108$$