Solve {l}{x-1/2=y+1/3=2+2/-1}{-y=0}

$$\left. \begin{array} { l } { \frac { x - 1 } { 2 } = \frac { y + 1 } { 3 } = \frac { 2 + 2 } { - 1 } } \\ { - y = 0 } \end{array} \right.$$

Solve for x

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

Steps for Solving Linear Equation

Multiply both sides of the equation by 6, the least common multiple of 2,3.

$$3\left(x-1\right)=2\left(y+1\right)$$

Use the distributive property to multiply 3 by x-1.

$$3x-3=2\left(y+1\right)$$

Use the distributive property to multiply 2 by y+1.

$$3x-3=2y+2$$

Add 3 to both sides.

$$3x=2y+2+3$$

Add 2 and 3 to get 5.

$$3x=2y+5$$

Divide both sides by 3.

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

Dividing by 3 undoes the multiplication by 3.

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