Solve y-73.7=0.48(x-2)

$$y - 73.7 = 0.48 ( x - 2 )$$

Solve for x

$$x=\frac{25y}{12}-\frac{3637}{24}$$

Steps for Solving Linear Equation

Use the distributive property to multiply 0.48 by x-2.

$$y-73.7=0.48x-0.96$$

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

$$0.48x-0.96=y-73.7$$

Add 0.96 to both sides.

$$0.48x=y-73.7+0.96$$

Add -73.7 and 0.96 to get -72.74.

$$0.48x=y-72.74$$

Divide both sides of the equation by 0.48, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{0.48x}{0.48}=\frac{y-72.74}{0.48}$$

Dividing by 0.48 undoes the multiplication by 0.48.

$$x=\frac{y-72.74}{0.48}$$

Divide y-72.74 by 0.48 by multiplying y-72.74 by the reciprocal of 0.48.

$$x=\frac{25y}{12}-\frac{3637}{24}$$

Solve for y

$$y=\frac{12x}{25}+72.74$$

Solution Steps

Use the distributive property to multiply 0.48 by x-2.

$$y-73.7=0.48x-0.96$$

Add 73.7 to both sides.

$$y=0.48x-0.96+73.7$$

Add -0.96 and 73.7 to get 72.74.

$$y=0.48x+72.74$$