Solve {r}{7x+2y=-9}{2y=-6}

$$\left. \begin{array} { r } { 7 x + 2 y = - 9 } \\ { 2 y = - 6 } \end{array} \right.$$

Solve for x, y

$$x=-\frac{3}{7}\approx -0.428571429$$

$$y=-3$$

Solution Steps

Consider the second equation. Divide both sides by 2.

$$y=\frac{-6}{2}$$

Divide -6 by 2 to get -3.

$$y=-3$$

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

$$7x+2\left(-3\right)=-9$$

Multiply 2 and -3 to get -6.

$$7x-6=-9$$

Add 6 to both sides.

$$7x=-9+6$$

Add -9 and 6 to get -3.

$$7x=-3$$

Divide both sides by 7.

$$x=-\frac{3}{7}$$

The system is now solved.

$$x=-\frac{3}{7} y=-3$$