Solve y=-3/x+7

$$y = - \frac { 3 } { x } + 7$$

Solve for x

$$x=-\frac{3}{y-7}$$

$$y\neq 7$$

Steps for Solving Linear Equation

Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.

$$yx=-3+x\times 7$$

Subtract x\times 7 from both sides.

$$yx-x\times 7=-3$$

Multiply -1 and 7 to get -7.

$$yx-7x=-3$$

Combine all terms containing x.

$$\left(y-7\right)x=-3$$

Divide both sides by y-7.

$$\frac{\left(y-7\right)x}{y-7}=-\frac{3}{y-7}$$

Dividing by y-7 undoes the multiplication by y-7.

$$x=-\frac{3}{y-7}$$

Variable x cannot be equal to 0.

$$x=-\frac{3}{y-7}\text{, }x\neq 0$$

Solve for y

$$y=7-\frac{3}{x}$$

$$x\neq 0$$