Solve (5-7x)*2y=20

$$( 5 - 7 x ) \times 2 y = 20$$

Solve for x

$$x=\frac{5}{7}-\frac{10}{7y}$$

$$y\neq 0$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5-7x by 2.

$$\left(10-14x\right)y=20$$

Use the distributive property to multiply 10-14x by y.

$$10y-14xy=20$$

Subtract 10y from both sides.

$$-14xy=20-10y$$

The equation is in standard form.

$$\left(-14y\right)x=20-10y$$

Divide both sides by -14y.

$$\frac{\left(-14y\right)x}{-14y}=\frac{20-10y}{-14y}$$

Dividing by -14y undoes the multiplication by -14y.

$$x=\frac{20-10y}{-14y}$$

Divide 20-10y by -14y.

$$x=\frac{5}{7}-\frac{10}{7y}$$

Solve for y

$$y=\frac{10}{5-7x}$$

$$x\neq \frac{5}{7}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5-7x by 2.

$$\left(10-14x\right)y=20$$

Divide both sides by 10-14x.

$$\frac{\left(10-14x\right)y}{10-14x}=\frac{20}{10-14x}$$

Dividing by 10-14x undoes the multiplication by 10-14x.

$$y=\frac{20}{10-14x}$$

Divide 20 by 10-14x.

$$y=\frac{10}{5-7x}$$