Solve 1+x=1/2y

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

Solve for y

$$y=2\left(x+1\right)$$

Steps for Solving Linear Equation

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

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

The equation is in standard form.

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

Multiply both sides by 2.

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

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

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

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

$$y=2x+2$$

Solve for x

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

Solution Steps

Subtract 1 from both sides.

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