Question

solve each system by elimination.

1. $5x - 9y = -24$

$-5x - 4y = 11$

Explanation:

Step1: Add the two equations

$$(5x - 9y) + (-5x - 4y) = -24 + 11$$
$$5x - 9y -5x -4y = -13$$
$$-13y = -13$$

Step2: Solve for $y$

$$y = \frac{-13}{-13} = 1$$

Step3: Substitute $y=1$ into first equation

$$5x - 9(1) = -24$$
$$5x - 9 = -24$$

Step4: Solve for $x$

$$5x = -24 + 9$$
$$5x = -15$$
$$x = \frac{-15}{5} = -3$$

Answer:

$x=-3$, $y=1$