Solve 2(x+y)-10(x+y)=(x+y)*(2-5)

$$2 ( x + y ) - 10 ( x + y ) = ( x + y ) \cdot ( 2 - 5 )$$

Solve for x

$$x=-y$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+y.

$$2x+2y-10\left(x+y\right)=\left(x+y\right)\left(2-5\right)$$

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

$$2x+2y-10x-10y=\left(x+y\right)\left(2-5\right)$$

Combine 2x and -10x to get -8x.

$$-8x+2y-10y=\left(x+y\right)\left(2-5\right)$$

Combine 2y and -10y to get -8y.

$$-8x-8y=\left(x+y\right)\left(2-5\right)$$

Subtract 5 from 2 to get -3.

$$-8x-8y=\left(x+y\right)\left(-3\right)$$

Use the distributive property to multiply x+y by -3.

$$-8x-8y=-3x-3y$$

Add 3x to both sides.

$$-8x-8y+3x=-3y$$

Combine -8x and 3x to get -5x.

$$-5x-8y=-3y$$

Add 8y to both sides.

$$-5x=-3y+8y$$

Combine -3y and 8y to get 5y.

$$-5x=5y$$

Divide both sides by -5.

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

Dividing by -5 undoes the multiplication by -5.

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

Divide 5y by -5.

$$x=-y$$

Solve for y

$$y=-x$$

Steps for Solving Linear Equation

Use the distributive property to multiply 2 by x+y.

$$2x+2y-10\left(x+y\right)=\left(x+y\right)\left(2-5\right)$$

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

$$2x+2y-10x-10y=\left(x+y\right)\left(2-5\right)$$

Combine 2x and -10x to get -8x.

$$-8x+2y-10y=\left(x+y\right)\left(2-5\right)$$

Combine 2y and -10y to get -8y.

$$-8x-8y=\left(x+y\right)\left(2-5\right)$$

Subtract 5 from 2 to get -3.

$$-8x-8y=\left(x+y\right)\left(-3\right)$$

Use the distributive property to multiply x+y by -3.

$$-8x-8y=-3x-3y$$

Add 3y to both sides.

$$-8x-8y+3y=-3x$$

Combine -8y and 3y to get -5y.

$$-8x-5y=-3x$$

Add 8x to both sides.

$$-5y=-3x+8x$$

Combine -3x and 8x to get 5x.

$$-5y=5x$$

Divide both sides by -5.

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

Dividing by -5 undoes the multiplication by -5.

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

Divide 5x by -5.

$$y=-x$$