Solve {l}{x+1/3=x-2/4}{text{Solvefor}ytext{where}}{y=1/3}

$$\left. \begin{array} { l } { \frac{x + 1}{3} = \frac{x - 2}{4} }\\ { \text{Solve for } y \text{ where} } \\ { y = \frac{1}{3} } \end{array} \right.$$

Solve for x, y

$$y=\frac{1}{3}\approx 0.333333333$$

Solution Steps

Consider the first equation. Multiply both sides of the equation by 12, the least common multiple of 3,4.

$$4\left(x+1\right)=3\left(x-2\right)$$

Use the distributive property to multiply 4 by x+1.

$$4x+4=3\left(x-2\right)$$

Use the distributive property to multiply 3 by x-2.

$$4x+4=3x-6$$

Subtract 3x from both sides.

$$4x+4-3x=-6$$

Combine 4x and -3x to get x.

$$x+4=-6$$

Subtract 4 from both sides.

$$x=-6-4$$

Subtract 4 from -6 to get -10.

$$x=-10$$

The system is now solved.

$$x=-10 y=\frac{1}{3}$$