Solve y-5=1.3(x-3)

$$y-5=1.3(x-3)$$

Solve for x

$$x=\frac{10y-11}{13}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 1.3 by x-3.

$$y-5=1.3x-3.9$$

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

$$1.3x-3.9=y-5$$

Add 3.9 to both sides.

$$1.3x=y-5+3.9$$

Add -5 and 3.9 to get -1.1.

$$1.3x=y-1.1$$

Divide both sides of the equation by 1.3, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{1.3x}{1.3}=\frac{y-1.1}{1.3}$$

Dividing by 1.3 undoes the multiplication by 1.3.

$$x=\frac{y-1.1}{1.3}$$

Divide y-1.1 by 1.3 by multiplying y-1.1 by the reciprocal of 1.3.

$$x=\frac{10y-11}{13}$$

Solve for y

$$y=\frac{13x+11}{10}$$

Solution Steps

Use the distributive property to multiply 1.3 by x-3.

$$y-5=1.3x-3.9$$

Add 5 to both sides.

$$y=1.3x-3.9+5$$

Add -3.9 and 5 to get 1.1.

$$y=1.3x+1.1$$