Solve y-530=730/41(x-31)

$$y - 530 = \frac { 730 } { 41 } ( x - 31 )$$

Solve for x

$$x=\frac{41y}{730}+\frac{90}{73}$$

Steps for Solving Linear Equation

Use the distributive property to multiply \frac{730}{41} by x-31.

$$y-530=\frac{730}{41}x-\frac{22630}{41}$$

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

$$\frac{730}{41}x-\frac{22630}{41}=y-530$$

Add \frac{22630}{41} to both sides.

$$\frac{730}{41}x=y-530+\frac{22630}{41}$$

Add -530 and \frac{22630}{41} to get \frac{900}{41}.

$$\frac{730}{41}x=y+\frac{900}{41}$$

Divide both sides of the equation by \frac{730}{41}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{730}{41}x}{\frac{730}{41}}=\frac{y+\frac{900}{41}}{\frac{730}{41}}$$

Dividing by \frac{730}{41} undoes the multiplication by \frac{730}{41}.

$$x=\frac{y+\frac{900}{41}}{\frac{730}{41}}$$

Divide y+\frac{900}{41} by \frac{730}{41} by multiplying y+\frac{900}{41} by the reciprocal of \frac{730}{41}.

$$x=\frac{41y}{730}+\frac{90}{73}$$

Solve for y

$$y=\frac{730x-900}{41}$$

Solution Steps

Use the distributive property to multiply \frac{730}{41} by x-31.

$$y-530=\frac{730}{41}x-\frac{22630}{41}$$

Add 530 to both sides.

$$y=\frac{730}{41}x-\frac{22630}{41}+530$$

Add -\frac{22630}{41} and 530 to get -\frac{900}{41}.

$$y=\frac{730}{41}x-\frac{900}{41}$$