Solve y-9=-1/7(x-7)

$$y-9=- \frac{ 1 }{ 7 } (x-7)$$

Solve for x

$$x=70-7y$$

Steps for Solving Linear Equation

Use the distributive property to multiply -\frac{1}{7} by x-7.

$$y-9=-\frac{1}{7}x+1$$

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

$$-\frac{1}{7}x+1=y-9$$

Subtract 1 from both sides.

$$-\frac{1}{7}x=y-9-1$$

Subtract 1 from -9 to get -10.

$$-\frac{1}{7}x=y-10$$

Multiply both sides by -7.

$$\frac{-\frac{1}{7}x}{-\frac{1}{7}}=\frac{y-10}{-\frac{1}{7}}$$

Dividing by -\frac{1}{7} undoes the multiplication by -\frac{1}{7}.

$$x=\frac{y-10}{-\frac{1}{7}}$$

Divide y-10 by -\frac{1}{7} by multiplying y-10 by the reciprocal of -\frac{1}{7}.

$$x=70-7y$$

Solve for y

$$y=-\frac{x}{7}+10$$

Solution Steps

Use the distributive property to multiply -\frac{1}{7} by x-7.

$$y-9=-\frac{1}{7}x+1$$

Add 9 to both sides.

$$y=-\frac{1}{7}x+1+9$$

Add 1 and 9 to get 10.

$$y=-\frac{1}{7}x+10$$