Solve y=4*2/2+5x+4.2

$$y = \frac { 4 \cdot 2 } { 2 + 5 } x + 4.2$$

Solve for x

$$x=\frac{7y}{8}-3.675$$

Steps for Solving Linear Equation

Multiply 4 and 2 to get 8.

$$y=\frac{8}{2+5}x+4.2$$

Add 2 and 5 to get 7.

$$y=\frac{8}{7}x+4.2$$

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

$$\frac{8}{7}x+4.2=y$$

Subtract 4.2 from both sides.

$$\frac{8}{7}x=y-4.2$$

The equation is in standard form.

$$\frac{8}{7}x=y-\frac{21}{5}$$

Divide both sides of the equation by \frac{8}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{8}{7}x}{\frac{8}{7}}=\frac{y-\frac{21}{5}}{\frac{8}{7}}$$

Dividing by \frac{8}{7} undoes the multiplication by \frac{8}{7}.

$$x=\frac{y-\frac{21}{5}}{\frac{8}{7}}$$

Divide y-\frac{21}{5} by \frac{8}{7} by multiplying y-\frac{21}{5} by the reciprocal of \frac{8}{7}.

$$x=\frac{7y}{8}-\frac{147}{40}$$

Solve for y

$$y=\frac{8x}{7}+4.2$$

Solution Steps

Multiply 4 and 2 to get 8.

$$y=\frac{8}{2+5}x+4.2$$

Add 2 and 5 to get 7.

$$y=\frac{8}{7}x+4.2$$