Solve y-64.3=0.4(x-2)

$$y-64.3=0.4(x-2)$$

Solve for x

$$x=\frac{5y}{2}-158.75$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.4 by x-2.

$$y-64.3=0.4x-0.8$$

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

$$0.4x-0.8=y-64.3$$

Add 0.8 to both sides.

$$0.4x=y-64.3+0.8$$

Add -64.3 and 0.8 to get -63.5.

$$0.4x=y-63.5$$

Divide both sides of the equation by 0.4, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.4x}{0.4}=\frac{y-63.5}{0.4}$$

Dividing by 0.4 undoes the multiplication by 0.4.

$$x=\frac{y-63.5}{0.4}$$

Divide y-63.5 by 0.4 by multiplying y-63.5 by the reciprocal of 0.4.

$$x=\frac{5y}{2}-\frac{635}{4}$$

Solve for y

$$y=\frac{2x}{5}+63.5$$

Solution Steps

Use the distributive property to multiply 0.4 by x-2.

$$y-64.3=0.4x-0.8$$

Add 64.3 to both sides.

$$y=0.4x-0.8+64.3$$

Add -0.8 and 64.3 to get 63.5.

$$y=0.4x+63.5$$