Question

systems of equations with elimination
google classroom microsoft teams
solve the system of equations.
$2y - 3x = -27$
$5y + 3x = 6$
$x = \square$
$y = \square$

Explanation:

Step1: Add the two equations

$$(2y - 3x) + (5y + 3x) = -27 + 6$$
$$7y = -21$$

Step2: Solve for y

$$y = \frac{-21}{7} = -3$$

Step3: Substitute y into second equation

$$5(-3) + 3x = 6$$
$$-15 + 3x = 6$$

Step4: Solve for x

$$3x = 6 + 15 = 21$$
$$x = \frac{21}{3} = 7$$

Answer:

$x = 7$
$y = -3$