Solve (x+j20)(y-j8)=200

$$( x + j 20 ) ( y - j 8 ) = 200$$

Solve for j_20

$$j_{20}=-\frac{xy-j_{8}x-200}{y-j_{8}}$$

$$y\neq j_{8}$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+j_{20} by y-j_{8}.

$$xy-xj_{8}+j_{20}y-j_{20}j_{8}=200$$

Subtract xy from both sides.

$$-xj_{8}+j_{20}y-j_{20}j_{8}=200-xy$$

Add xj_{8} to both sides.

$$j_{20}y-j_{20}j_{8}=200-xy+xj_{8}$$

Combine all terms containing j_{20}.

$$\left(y-j_{8}\right)j_{20}=200-xy+xj_{8}$$

The equation is in standard form.

$$\left(y-j_{8}\right)j_{20}=j_{8}x-xy+200$$

Divide both sides by y-j_{8}.

$$\frac{\left(y-j_{8}\right)j_{20}}{y-j_{8}}=\frac{j_{8}x-xy+200}{y-j_{8}}$$

Dividing by y-j_{8} undoes the multiplication by y-j_{8}.

$$j_{20}=\frac{j_{8}x-xy+200}{y-j_{8}}$$

Solve for j_8

$$j_{8}=\frac{xy+j_{20}y-200}{x+j_{20}}$$

$$x\neq -j_{20}$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+j_{20} by y-j_{8}.

$$xy-xj_{8}+j_{20}y-j_{20}j_{8}=200$$

Subtract xy from both sides.

$$-xj_{8}+j_{20}y-j_{20}j_{8}=200-xy$$

Subtract j_{20}y from both sides.

$$-xj_{8}-j_{20}j_{8}=200-xy-j_{20}y$$

Combine all terms containing j_{8}.

$$\left(-x-j_{20}\right)j_{8}=200-xy-j_{20}y$$

The equation is in standard form.

$$\left(-x-j_{20}\right)j_{8}=200-j_{20}y-xy$$

Divide both sides by -x-j_{20}.

$$\frac{\left(-x-j_{20}\right)j_{8}}{-x-j_{20}}=\frac{200-j_{20}y-xy}{-x-j_{20}}$$

Dividing by -x-j_{20} undoes the multiplication by -x-j_{20}.

$$j_{8}=\frac{200-j_{20}y-xy}{-x-j_{20}}$$

Divide 200-xy-j_{20}y by -x-j_{20}.

$$j_{8}=-\frac{200-j_{20}y-xy}{x+j_{20}}$$