Solve y=-7/2x-49/18

$$y = \frac { - 7 } { 2 } x - \frac { 49 } { 18 }$$

Solve for x

$$x=-\frac{2y}{7}-\frac{7}{9}$$

Steps for Solving Linear Equation

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$y=-\frac{7}{2}x-\frac{49}{18}$$

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

$$-\frac{7}{2}x-\frac{49}{18}=y$$

Add \frac{49}{18} to both sides.

$$-\frac{7}{2}x=y+\frac{49}{18}$$

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

$$\frac{-\frac{7}{2}x}{-\frac{7}{2}}=\frac{y+\frac{49}{18}}{-\frac{7}{2}}$$

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

$$x=\frac{y+\frac{49}{18}}{-\frac{7}{2}}$$

Divide y+\frac{49}{18} by -\frac{7}{2} by multiplying y+\frac{49}{18} by the reciprocal of -\frac{7}{2}.

$$x=-\frac{2y}{7}-\frac{7}{9}$$

Solve for y

$$y=-\frac{7x}{2}-\frac{49}{18}$$

Solution Steps

Fraction \frac{-7}{2} can be rewritten as -\frac{7}{2} by extracting the negative sign.

$$y=-\frac{7}{2}x-\frac{49}{18}$$