Solve {l}{3x-2y=0}{5x=25}

$$\left. \begin{array} { l } { 3 x - 2 y = 0 } \\ { 5 x = 25 } \end{array} \right.$$

Solve for x, y

$$x=5$$

$$y = \frac{15}{2} = 7\frac{1}{2} = 7.5$$

Solution Steps

Consider the second equation. Divide both sides by 5.

$$x=\frac{25}{5}$$

Divide 25 by 5 to get 5.

$$x=5$$

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

$$3\times 5-2y=0$$

Multiply 3 and 5 to get 15.

$$15-2y=0$$

Subtract 15 from both sides. Anything subtracted from zero gives its negation.

$$-2y=-15$$

Divide both sides by -2.

$$y=\frac{-15}{-2}$$

Fraction \frac{-15}{-2} can be simplified to \frac{15}{2} by removing the negative sign from both the numerator and the denominator.

$$y=\frac{15}{2}$$

The system is now solved.

$$x=5 y=\frac{15}{2}$$