Solve y-1=-2/-7(x+10)

$$y - 1 = \frac { - 2 } { - 7 } ( x + 10 )$$

Solve for x

$$x=\frac{7y-27}{2}$$

Steps for Solving Linear Equation

Fraction \frac{-2}{-7} can be simplified to \frac{2}{7} by removing the negative sign from both the numerator and the denominator.

$$y-1=\frac{2}{7}\left(x+10\right)$$

Use the distributive property to multiply \frac{2}{7} by x+10.

$$y-1=\frac{2}{7}x+\frac{20}{7}$$

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

$$\frac{2}{7}x+\frac{20}{7}=y-1$$

Subtract \frac{20}{7} from both sides.

$$\frac{2}{7}x=y-1-\frac{20}{7}$$

Subtract \frac{20}{7} from -1 to get -\frac{27}{7}.

$$\frac{2}{7}x=y-\frac{27}{7}$$

Divide both sides of the equation by \frac{2}{7}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{2}{7}x}{\frac{2}{7}}=\frac{y-\frac{27}{7}}{\frac{2}{7}}$$

Dividing by \frac{2}{7} undoes the multiplication by \frac{2}{7}.

$$x=\frac{y-\frac{27}{7}}{\frac{2}{7}}$$

Divide y-\frac{27}{7} by \frac{2}{7} by multiplying y-\frac{27}{7} by the reciprocal of \frac{2}{7}.

$$x=\frac{7y-27}{2}$$

Solve for y

$$y=\frac{2x+27}{7}$$

Solution Steps

Fraction \frac{-2}{-7} can be simplified to \frac{2}{7} by removing the negative sign from both the numerator and the denominator.

$$y-1=\frac{2}{7}\left(x+10\right)$$

Use the distributive property to multiply \frac{2}{7} by x+10.

$$y-1=\frac{2}{7}x+\frac{20}{7}$$

Add 1 to both sides.

$$y=\frac{2}{7}x+\frac{20}{7}+1$$

Add \frac{20}{7} and 1 to get \frac{27}{7}.

$$y=\frac{2}{7}x+\frac{27}{7}$$