Solve 7x-31/2y-31/2=0

$$7 x - 3 \frac { 1 } { 2 } y - 3 \frac { 1 } { 2 } = 0$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2\left(7x-\frac{3\times 2+1}{2}y\right)-\left(3\times 2+1\right)=0$$

Multiply 3 and 2 to get 6.

$$2\left(7x-\frac{6+1}{2}y\right)-\left(3\times 2+1\right)=0$$

Add 6 and 1 to get 7.

$$2\left(7x-\frac{7}{2}y\right)-\left(3\times 2+1\right)=0$$

Use the distributive property to multiply 2 by 7x-\frac{7}{2}y.

$$14x-7y-\left(3\times 2+1\right)=0$$

Multiply 3 and 2 to get 6.

$$14x-7y-\left(6+1\right)=0$$

Add 6 and 1 to get 7.

$$14x-7y-7=0$$

Add 7y to both sides. Anything plus zero gives itself.

$$14x-7=7y$$

Add 7 to both sides.

$$14x=7y+7$$

Divide both sides by 14.

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

Dividing by 14 undoes the multiplication by 14.

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

Divide 7+7y by 14.

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

Solve for y

$$y=2x-1$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 2.

$$2\left(7x-\frac{3\times 2+1}{2}y\right)-\left(3\times 2+1\right)=0$$

Multiply 3 and 2 to get 6.

$$2\left(7x-\frac{6+1}{2}y\right)-\left(3\times 2+1\right)=0$$

Add 6 and 1 to get 7.

$$2\left(7x-\frac{7}{2}y\right)-\left(3\times 2+1\right)=0$$

Use the distributive property to multiply 2 by 7x-\frac{7}{2}y.

$$14x-7y-\left(3\times 2+1\right)=0$$

Multiply 3 and 2 to get 6.

$$14x-7y-\left(6+1\right)=0$$

Add 6 and 1 to get 7.

$$14x-7y-7=0$$

Subtract 14x from both sides. Anything subtracted from zero gives its negation.

$$-7y-7=-14x$$

Add 7 to both sides.

$$-7y=-14x+7$$

The equation is in standard form.

$$-7y=7-14x$$

Divide both sides by -7.

$$\frac{-7y}{-7}=\frac{7-14x}{-7}$$

Dividing by -7 undoes the multiplication by -7.

$$y=\frac{7-14x}{-7}$$

Divide -14x+7 by -7.

$$y=2x-1$$