Solve this system of equations. 2x + 6y = −6,

4x − 3y = −12

What is the solution to the system of equations?

(
,
)

(-3, 0)

Explanation:

(Just wanted to give you a heads up that you posted this under the English category.)

We can solve this system by elimination. Let's multiply the first equation by two and keep the second equation the same to get the same first term:

4x + 12y = -12

4x - 3y = -12

We can now subtract the two equations to isolate the y term:

4x - 4x = 0

12y - (-3y) = 15y

-12 - (-12) = 0

We then get the equation: 15y = 0

Solve for y by diving both sides by 15; we get y = 0.

Now we can choose either equation in the system and plug in y, and then solve for x:

2x + 6(0) = -6

2x = -6

x = -3

Our answer is (-3, 0).

We can also check our answer by plugging it in the other equation:

4(-3) - 3(0) = -12

-12 - 0 = -12

Since this equation is true, our answer is correct and solves this system.

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multiple settings

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novels have multiple settings. a setting is a place or surrounding when a main event or event takes place. not everything happens in just one scene or setting. yes, there can be one *main* setting, but there is definitely not just one. b is incorrect. novels do not have limited characters. there are many characters in a novel, depending on how many the writer wishes to add in. c is incorrect. there is not just a single theme. there are many themes. another word for "theme" is the subject. there can be many subjects and topics. once again, there are many, depending on however many the author wishes to add or include. d is incorrect. yes, novels *can* have no solutions, based on what the author would like. but typically, novels have a solution. the solution might be in "book 5", but there is normally still a solution.

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