Solve left(2-1/2right)x-1+1/2y-5+1/2=0

$$\left( 2- \frac{ 1 }{ 2 } \right) x-1+ \frac{ 1 }{ 2 } y-5+ \frac{ 1 }{ 2 } = 0$$

Solve for x

$$x=\frac{11-y}{3}$$

Steps for Solving Linear Equation

Subtract \frac{1}{2} from 2 to get \frac{3}{2}.

$$\frac{3}{2}x-1+\frac{1}{2}y-5+\frac{1}{2}=0$$

Subtract 5 from -1 to get -6.

$$\frac{3}{2}x-6+\frac{1}{2}y+\frac{1}{2}=0$$

Add -6 and \frac{1}{2} to get -\frac{11}{2}.

$$\frac{3}{2}x-\frac{11}{2}+\frac{1}{2}y=0$$

Add \frac{11}{2} to both sides. Anything plus zero gives itself.

$$\frac{3}{2}x+\frac{1}{2}y=\frac{11}{2}$$

Subtract \frac{1}{2}y from both sides.

$$\frac{3}{2}x=\frac{11}{2}-\frac{1}{2}y$$

The equation is in standard form.

$$\frac{3}{2}x=\frac{11-y}{2}$$

Divide both sides of the equation by \frac{3}{2}, which is the same as multiplying both sides by the reciprocal of the fraction.

$$\frac{\frac{3}{2}x}{\frac{3}{2}}=\frac{11-y}{\frac{3}{2}\times 2}$$

Dividing by \frac{3}{2} undoes the multiplication by \frac{3}{2}.

$$x=\frac{11-y}{\frac{3}{2}\times 2}$$

Divide \frac{11-y}{2} by \frac{3}{2} by multiplying \frac{11-y}{2} by the reciprocal of \frac{3}{2}.

$$x=\frac{11-y}{3}$$

Solve for y

$$y=11-3x$$

Steps for Solving Linear Equation

Subtract \frac{1}{2} from 2 to get \frac{3}{2}.

$$\frac{3}{2}x-1+\frac{1}{2}y-5+\frac{1}{2}=0$$

Subtract 5 from -1 to get -6.

$$\frac{3}{2}x-6+\frac{1}{2}y+\frac{1}{2}=0$$

Add -6 and \frac{1}{2} to get -\frac{11}{2}.

$$\frac{3}{2}x-\frac{11}{2}+\frac{1}{2}y=0$$

Subtract \frac{3}{2}x from both sides. Anything subtracted from zero gives its negation.

$$-\frac{11}{2}+\frac{1}{2}y=-\frac{3}{2}x$$

Add \frac{11}{2} to both sides.

$$\frac{1}{2}y=-\frac{3}{2}x+\frac{11}{2}$$

The equation is in standard form.

$$\frac{1}{2}y=\frac{11-3x}{2}$$

Multiply both sides by 2.

$$\frac{\frac{1}{2}y}{\frac{1}{2}}=\frac{11-3x}{\frac{1}{2}\times 2}$$

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

$$y=\frac{11-3x}{\frac{1}{2}\times 2}$$

Divide \frac{-3x+11}{2} by \frac{1}{2} by multiplying \frac{-3x+11}{2} by the reciprocal of \frac{1}{2}.

$$y=11-3x$$