Solve 7x-1/2y=30

$$7x- \frac{ 1 }{ 2 } y=30$$

Solve for x

$$x=\frac{y+60}{14}$$

Steps for Solving Linear Equation

Add \frac{1}{2}y to both sides.

$$7x=30+\frac{1}{2}y$$

The equation is in standard form.

$$7x=\frac{y}{2}+30$$

Divide both sides by 7.

$$\frac{7x}{7}=\frac{\frac{y}{2}+30}{7}$$

Dividing by 7 undoes the multiplication by 7.

$$x=\frac{\frac{y}{2}+30}{7}$$

Divide 30+\frac{y}{2} by 7.

$$x=\frac{y}{14}+\frac{30}{7}$$

Solve for y

$$y=14x-60$$

Steps for Solving Linear Equation

Subtract 7x from both sides.

$$-\frac{1}{2}y=30-7x$$

Multiply both sides by -2.

$$\frac{-\frac{1}{2}y}{-\frac{1}{2}}=\frac{30-7x}{-\frac{1}{2}}$$

Dividing by -\frac{1}{2} undoes the multiplication by -\frac{1}{2}.

$$y=\frac{30-7x}{-\frac{1}{2}}$$

Divide 30-7x by -\frac{1}{2} by multiplying 30-7x by the reciprocal of -\frac{1}{2}.

$$y=14x-60$$