Solve y=3-14x/2x-14

$$y = \frac { 3 - 14 x } { 2 x - 14 }$$

Solve for x

$$x=\frac{14y+3}{2\left(y+7\right)}$$

$$y\neq -7$$

Steps for Solving Linear Equation

Variable x cannot be equal to 7 since division by zero is not defined. Multiply both sides of the equation by 2\left(x-7\right).

$$y\times 2\left(x-7\right)=3-14x$$

Use the distributive property to multiply y\times 2 by x-7.

$$2yx-7y\times 2=3-14x$$

Multiply -7 and 2 to get -14.

$$2yx-14y=3-14x$$

Add 14x to both sides.

$$2yx-14y+14x=3$$

Add 14y to both sides.

$$2yx+14x=3+14y$$

Combine all terms containing x.

$$\left(2y+14\right)x=3+14y$$

The equation is in standard form.

$$\left(2y+14\right)x=14y+3$$

Divide both sides by 2y+14.

$$\frac{\left(2y+14\right)x}{2y+14}=\frac{14y+3}{2y+14}$$

Dividing by 2y+14 undoes the multiplication by 2y+14.

$$x=\frac{14y+3}{2y+14}$$

Divide 14y+3 by 2y+14.

$$x=\frac{14y+3}{2\left(y+7\right)}$$

Variable x cannot be equal to 7.

$$x=\frac{14y+3}{2\left(y+7\right)}\text{, }x\neq 7$$

Solve for y

$$y=-\frac{14x-3}{2\left(x-7\right)}$$

$$x\neq 7$$