Solve y=10/7x+43

$$y = \frac { 10 } { 7 } x + 43$$

Solve for x

$$x=\frac{7\left(y-43\right)}{10}$$

Steps for Solving Linear Equation

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

$$\frac{10}{7}x+43=y$$

Subtract 43 from both sides.

$$\frac{10}{7}x=y-43$$

Divide both sides of the equation by \frac{10}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{10}{7}x}{\frac{10}{7}}=\frac{y-43}{\frac{10}{7}}$$

Dividing by \frac{10}{7} undoes the multiplication by \frac{10}{7}.

$$x=\frac{y-43}{\frac{10}{7}}$$

Divide y-43 by \frac{10}{7} by multiplying y-43 by the reciprocal of \frac{10}{7}.

$$x=\frac{7y-301}{10}$$

Solve for y

$$y=\frac{10x}{7}+43$$