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3 years ago

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What is the solution of the system? Use elimination. 3x - 4y = 9 -3x + 2y = 9

2 answers:

densk [106]3 years ago

6 0

You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.

3x - 4y = 9
<span>-3x + 2y = 9
</span>
When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.

We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).

-2y = 18

18/-2 = -9.

Now we have y = -9, and we can go back into the problems to solve for x.

<span>3x - 4(-9) = 9
</span>
3x + 36 = 9.

3x = -27

x = -9.

Confirm with the final equation:

-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.

ale4655 [162]3 years ago

4 0

Answer:

[-9, -9]

Step-by-step explanation:

Here is how the Eliminasyon Metòd is done:

{3x - 4y = 9

{-3x + 2y = 9

--------------

-2y = 18; -9 = y [plug this back into both equations for <em>y</em> to get <em>-9 = </em><em>x</em>]

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

**I do have videos that talk about how to solve systems of equations in two to three variables using the Elimination and Substitution methods. I encourage you to check them out!

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Answer:

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Step-by-step explanation:

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c.

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