Solve {r}{3x+2y=2/3}{y=0.5}

$$\left. \begin{array} { r } { 3 x + 2 y = 2 / 3 } \\ { y = 0.5 } \end{array} \right.$$

Solve for x, y

$$x=-\frac{1}{9}\approx -0.111111111$$

$$y=0.5$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$3x+2\times 0.5=\frac{2}{3}$$

Multiply 2 and 0.5 to get 1.

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

Subtract 1 from both sides.

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

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

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

Divide both sides by 3.

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

Express \frac{-\frac{1}{3}}{3} as a single fraction.

$$x=\frac{-1}{3\times 3}$$

Multiply 3 and 3 to get 9.

$$x=\frac{-1}{9}$$

Fraction \frac{-1}{9} can be rewritten as -\frac{1}{9} by extracting the negative sign.

$$x=-\frac{1}{9}$$

The system is now solved.

$$x=-\frac{1}{9} y=0.5$$