Question

elimination method
(show your work)
-6x+6y=6
-6x+3y=-12
solution ( , )

Explanation:

Step1: Subtract equations to eliminate $x$

$$(-6x + 6y) - (-6x + 3y) = 6 - (-12)$$
Simplify:
$$-6x + 6y + 6x - 3y = 6 + 12$$
$$3y = 18$$

Step2: Solve for $y$

$$y = \frac{18}{3} = 6$$

Step3: Substitute $y=6$ into first equation

$$-6x + 6(6) = 6$$
Simplify:
$$-6x + 36 = 6$$

Step4: Solve for $x$

$$-6x = 6 - 36$$
$$-6x = -30$$
$$x = \frac{-30}{-6} = 5$$

Answer:

$(5, 6)$