Solve -7y=24quadtext{II.}9x=3y+6

$$- 7 y = 24 \quad \text { II. } 9 x = 3 y + 6$$

Solve for y, x

$$x=-\frac{10}{21}\approx -0.476190476$$

$$y = -\frac{24}{7} = -3\frac{3}{7} \approx -3.428571429$$

Solution Steps

Consider the first equation. Divide both sides by -7.

$$y=-\frac{24}{7}$$

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

$$9x=3\left(-\frac{24}{7}\right)+6$$

Multiply 3 and -\frac{24}{7} to get -\frac{72}{7}.

$$9x=-\frac{72}{7}+6$$

Add -\frac{72}{7} and 6 to get -\frac{30}{7}.

$$9x=-\frac{30}{7}$$

Divide both sides by 9.

$$x=\frac{-\frac{30}{7}}{9}$$

Express \frac{-\frac{30}{7}}{9} as a single fraction.

$$x=\frac{-30}{7\times 9}$$

Multiply 7 and 9 to get 63.

$$x=\frac{-30}{63}$$

Reduce the fraction \frac{-30}{63} to lowest terms by extracting and canceling out 3.

$$x=-\frac{10}{21}$$

The system is now solved.

$$y=-\frac{24}{7} x=-\frac{10}{21}$$