Solve {l}{x+y-2=0}{3x-4=0}

$$\left\{ \begin{array} { l } { x + y - 2 = 0 } \\ { 3 x - 4 = 0 } \end{array} \right.$$

Solve for x, y

$$x = \frac{4}{3} = 1\frac{1}{3} \approx 1.333333333$$

$$y=\frac{2}{3}\approx 0.666666667$$

Solution Steps

Consider the second equation. Add 4 to both sides. Anything plus zero gives itself.

$$3x=4$$

Divide both sides by 3.

$$x=\frac{4}{3}$$

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

$$\frac{4}{3}+y-2=0$$

Subtract 2 from \frac{4}{3} to get -\frac{2}{3}.

$$-\frac{2}{3}+y=0$$

Add \frac{2}{3} to both sides. Anything plus zero gives itself.

$$y=\frac{2}{3}$$

The system is now solved.

$$x=\frac{4}{3} y=\frac{2}{3}$$