Solve 10x+y=left(x+yright)6+4

$$10x+y = \left( x+y \right) 6+4$$

Solve for x

$$x=\frac{5y}{4}+1$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+y by 6.

$$10x+y=6x+6y+4$$

Subtract 6x from both sides.

$$10x+y-6x=6y+4$$

Combine 10x and -6x to get 4x.

$$4x+y=6y+4$$

Subtract y from both sides.

$$4x=6y+4-y$$

Combine 6y and -y to get 5y.

$$4x=5y+4$$

Divide both sides by 4.

$$\frac{4x}{4}=\frac{5y+4}{4}$$

Dividing by 4 undoes the multiplication by 4.

$$x=\frac{5y+4}{4}$$

Divide 5y+4 by 4.

$$x=\frac{5y}{4}+1$$

Solve for y

$$y=\frac{4\left(x-1\right)}{5}$$

Steps for Solving Linear Equation

Use the distributive property to multiply x+y by 6.

$$10x+y=6x+6y+4$$

Subtract 6y from both sides.

$$10x+y-6y=6x+4$$

Combine y and -6y to get -5y.

$$10x-5y=6x+4$$

Subtract 10x from both sides.

$$-5y=6x+4-10x$$

Combine 6x and -10x to get -4x.

$$-5y=-4x+4$$

The equation is in standard form.

$$-5y=4-4x$$

Divide both sides by -5.

$$\frac{-5y}{-5}=\frac{4-4x}{-5}$$

Dividing by -5 undoes the multiplication by -5.

$$y=\frac{4-4x}{-5}$$

Divide -4x+4 by -5.

$$y=\frac{4x-4}{5}$$