Solve {l}{2y-3x=1}{y=9}

$$\left. \begin{array} { l } { 2 y - 3 x = 1 } \\ { y = 9 } \end{array} \right.$$

Solve for y, x

$$x = \frac{17}{3} = 5\frac{2}{3} \approx 5.666666667$$

$$y=9$$

Solution Steps

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

$$2\times 9-3x=1$$

Multiply 2 and 9 to get 18.

$$18-3x=1$$

Subtract 18 from both sides.

$$-3x=1-18$$

Subtract 18 from 1 to get -17.

$$-3x=-17$$

Divide both sides by -3.

$$x=\frac{-17}{-3}$$

Fraction \frac{-17}{-3} can be simplified to \frac{17}{3} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{17}{3}$$

The system is now solved.

$$y=9 x=\frac{17}{3}$$