Solve y=(x-4.2)*5/4+35

$$y = ( x - 4.2 ) \times \frac { 5 } { 4 } + 35$$

Solve for x

$$x=\frac{4y-119}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply x-4.2 by \frac{5}{4}.

$$y=\frac{5}{4}x-\frac{21}{4}+35$$

Add -\frac{21}{4} and 35 to get \frac{119}{4}.

$$y=\frac{5}{4}x+\frac{119}{4}$$

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

$$\frac{5}{4}x+\frac{119}{4}=y$$

Subtract \frac{119}{4} from both sides.

$$\frac{5}{4}x=y-\frac{119}{4}$$

Divide both sides of the equation by \frac{5}{4}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{5}{4}x}{\frac{5}{4}}=\frac{y-\frac{119}{4}}{\frac{5}{4}}$$

Dividing by \frac{5}{4} undoes the multiplication by \frac{5}{4}.

$$x=\frac{y-\frac{119}{4}}{\frac{5}{4}}$$

Divide y-\frac{119}{4} by \frac{5}{4} by multiplying y-\frac{119}{4} by the reciprocal of \frac{5}{4}.

$$x=\frac{4y-119}{5}$$

Solve for y

$$y=\frac{5x+119}{4}$$

Solution Steps

Use the distributive property to multiply x-4.2 by \frac{5}{4}.

$$y=\frac{5}{4}x-\frac{21}{4}+35$$

Add -\frac{21}{4} and 35 to get \frac{119}{4}.

$$y=\frac{5}{4}x+\frac{119}{4}$$