Solve 9:2x-y-7=0

$$9 : 2 x - y - 7 = 0$$

Solve for x

$$x=\frac{2\left(y+7\right)}{9}$$

Steps for Solving Linear Equation

Add y to both sides. Anything plus zero gives itself.

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

Add 7 to both sides.

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

Divide both sides of the equation by \frac{9}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

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

Dividing by \frac{9}{2} undoes the multiplication by \frac{9}{2}.

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

Divide y+7 by \frac{9}{2} by multiplying y+7 by the reciprocal of \frac{9}{2}.

$$x=\frac{2y+14}{9}$$

Solve for y

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

Steps for Solving Linear Equation

Subtract \frac{9}{2}x from both sides. Anything subtracted from zero gives its negation.

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

Add 7 to both sides.

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

The equation is in standard form.

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

Divide both sides by -1.

$$\frac{-y}{-1}=\frac{-\frac{9x}{2}+7}{-1}$$

Dividing by -1 undoes the multiplication by -1.

$$y=\frac{-\frac{9x}{2}+7}{-1}$$

Divide -\frac{9x}{2}+7 by -1.

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