Solve {r}{x-y=700}{x=sqrt{2/3}}

$$\left. \begin{array} { r } { x - y = 700 } \\ { x = \sqrt { \frac { 2 } { 3 } } } \end{array} \right.$$

Solve for x, y

$$x=\frac{\sqrt{6}}{3}\approx 0.816496581$$

$$y=\frac{\sqrt{6}-2100}{3}\approx -699.183503419$$

Steps Using Substitution

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$$x=\sqrt{\frac{2}{3}},x-y=700$$

Pick one of the two equations which is more simple to solve for x by isolating x on the left hand side of the equal sign.

$$x=\sqrt{\frac{2}{3}}$$

Divide both sides by 1.

$$x=\frac{\sqrt{6}}{3}$$

Substitute \frac{\sqrt{6}}{3} for x in the other equation, x-y=700.

$$\frac{\sqrt{6}}{3}-y=700$$

Subtract \frac{\sqrt{6}}{3} from both sides of the equation.

$$-y=-\frac{\sqrt{6}}{3}+700$$

Divide both sides by -1.

$$y=\frac{\sqrt{6}}{3}-700$$

The system is now solved.

$$x=\frac{\sqrt{6}}{3},y=\frac{\sqrt{6}}{3}-700$$