Question

math 8_6
6-5/6-6 elimination method. or add/subtract
solve the system using addition.
$6x + 8y = 12$
$-6x + y = 15$
the solution is $square$. (type an ordered pair.)

Explanation:

Step1: Add the two equations

$$(6x + 8y) + (-6x + y) = 12 + 15$$
$$9y = 27$$

Step2: Solve for $y$

$$y = \frac{27}{9} = 3$$

Step3: Substitute $y=3$ into first equation

$$6x + 8(3) = 12$$
$$6x + 24 = 12$$

Step4: Solve for $x$

$$6x = 12 - 24 = -12$$
$$x = \frac{-12}{6} = -2$$

Answer:

$(-2, 3)$