Solve 6+13left(x-1right)=5+13(y-1)

$$6+13 \left( x-1 \right) = 5+13(y-1)$$

Solve for x

$$x = -\frac{1}{13} = -0.07692307692307693$$

Steps for Solving Linear Equation

Use the distributive property to multiply 13 by x-1.

$$6+13x-13=5+13\left(y-1\right)$$

Subtract 13 from 6 to get -7.

$$-7+13x=5+13\left(y-1\right)$$

Use the distributive property to multiply 13 by y-1.

$$-7+13x=5+13y-13$$

Subtract 13 from 5 to get -8.

$$-7+13x=-8+13y$$

Add 7 to both sides.

$$13x=-8+13y+7$$

Add -8 and 7 to get -1.

$$13x=-1+13y$$

The equation is in standard form.

$$13x=13y-1$$

Divide both sides by 13.

$$\frac{13x}{13}=\frac{13y-1}{13}$$

Dividing by 13 undoes the multiplication by 13.

$$x=\frac{13y-1}{13}$$

Divide -1+13y by 13.

$$x=y-\frac{1}{13}$$

Solve for y

$$y = \frac{1}{13} = 0.07692307692307693$$

Steps for Solving Linear Equation

Use the distributive property to multiply 13 by x-1.

$$6+13x-13=5+13\left(y-1\right)$$

Subtract 13 from 6 to get -7.

$$-7+13x=5+13\left(y-1\right)$$

Use the distributive property to multiply 13 by y-1.

$$-7+13x=5+13y-13$$

Subtract 13 from 5 to get -8.

$$-7+13x=-8+13y$$

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

$$-8+13y=-7+13x$$

Add 8 to both sides.

$$13y=-7+13x+8$$

Add -7 and 8 to get 1.

$$13y=1+13x$$

The equation is in standard form.

$$13y=13x+1$$

Divide both sides by 13.

$$\frac{13y}{13}=\frac{13x+1}{13}$$

Dividing by 13 undoes the multiplication by 13.

$$y=\frac{13x+1}{13}$$

Divide 1+13x by 13.

$$y=x+\frac{1}{13}$$