Solve -11/10=6-y/2-x

$$- \frac { 11 } { 10 } = \frac { 6 - y } { 2 - x }$$

Solve for x

$$x=\frac{82-10y}{11}$$

$$y\neq 6$$

Steps for Solving Linear Equation

Variable x cannot be equal to 2 since division by zero is not defined. Multiply both sides of the equation by 10\left(x-2\right), the least common multiple of 10,2-x.

$$-11\left(x-2\right)=-10\left(6-y\right)$$

Use the distributive property to multiply -11 by x-2.

$$-11x+22=-10\left(6-y\right)$$

Use the distributive property to multiply -10 by 6-y.

$$-11x+22=-60+10y$$

Subtract 22 from both sides.

$$-11x=-60+10y-22$$

Subtract 22 from -60 to get -82.

$$-11x=-82+10y$$

The equation is in standard form.

$$-11x=10y-82$$

Divide both sides by -11.

$$\frac{-11x}{-11}=\frac{10y-82}{-11}$$

Dividing by -11 undoes the multiplication by -11.

$$x=\frac{10y-82}{-11}$$

Divide -82+10y by -11.

$$x=\frac{82-10y}{11}$$

Variable x cannot be equal to 2.

$$x=\frac{82-10y}{11}\text{, }x\neq 2$$

Solve for y

$$y=-\frac{11x}{10}+\frac{41}{5}$$

$$x\neq 2$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 10\left(x-2\right), the least common multiple of 10,2-x.

$$-11\left(x-2\right)=-10\left(6-y\right)$$

Use the distributive property to multiply -11 by x-2.

$$-11x+22=-10\left(6-y\right)$$

Use the distributive property to multiply -10 by 6-y.

$$-11x+22=-60+10y$$

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

$$-60+10y=-11x+22$$

Add 60 to both sides.

$$10y=-11x+22+60$$

Add 22 and 60 to get 82.

$$10y=-11x+82$$

The equation is in standard form.

$$10y=82-11x$$

Divide both sides by 10.

$$\frac{10y}{10}=\frac{82-11x}{10}$$

Dividing by 10 undoes the multiplication by 10.

$$y=\frac{82-11x}{10}$$

Divide -11x+82 by 10.

$$y=-\frac{11x}{10}+\frac{41}{5}$$