Solve {l}{-3x+7y=-16}{-9x+5x=16}

$$\left. \begin{array} { l } { - 3 x + 7 y = - 16 } \\ { - 9 x + 5 x = 16 } \end{array} \right.$$

Solve for x, y

$$x=-4$$

$$y=-4$$

Solution Steps

Consider the second equation. Combine -9x and 5x to get -4x.

$$-4x=16$$

Divide both sides by -4.

$$x=\frac{16}{-4}$$

Divide 16 by -4 to get -4.

$$x=-4$$

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

$$-3\left(-4\right)+7y=-16$$

Multiply -3 and -4 to get 12.

$$12+7y=-16$$

Subtract 12 from both sides.

$$7y=-16-12$$

Subtract 12 from -16 to get -28.

$$7y=-28$$

Divide both sides by 7.

$$y=\frac{-28}{7}$$

Divide -28 by 7 to get -4.

$$y=-4$$

The system is now solved.

$$x=-4 y=-4$$