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Rus_ich [418]
3 years ago
8

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

Mathematics
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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3 years ago
the equation y equals 0.25 x describes a proportional relationship between X and Y what is the constant of proportionality
Fittoniya [83]
The constant of proportionality is for every 1 x, there is 0.25 y. y = 0.25, and on a graph, x is always the "1." Since x is worth 1, y must be worth 0.25.
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At a certain fast-food restaurant, 69 % of customers order a chicken sandwich, 46 % of customers order french fries, and 36 % of
Leviafan [203]
We have events:

A - <span>customer orders a chicken sandwich
</span>B - <span>customer orders french fries


and probabilities:

P(A)=0.69\\\\P(B)=0.46\\\\P(A\cap B)=0.36

so:

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3 years ago
What is the point-slope form of a line with a slope -3 that contains the point (10,-1)
Citrus2011 [14]
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Here's the formula:

y - y1 = m(x - x1)

Substitute numbers accordingly:

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4 0
2 years ago
A donut store has 11 different types of donuts. You can only buy a bag of 3 of them, where each donut has to be of a different t
MakcuM [25]

Answer:

165.

Step-by-step explanation:

Since repetition isn't allowed, there would be 11 choices for the first donut, (11 - 1) = 10 choices for the second donut, and (11 - 2) = 9 choices for the third donut. If the order in which donuts are placed in the bag matters, there would be 11 \times 10 \times 9 unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type 3 \times 2 \times 1 = 6 times.

For example, if a bag includes donut of type x, y, and z, the count 11 \times 10 \times 9 would include the following 3 \times 2 \times 1 arrangements:

  • xyz.
  • xzy.
  • yxz.
  • yzx.
  • zxy.
  • zyx.

Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count 11 \times 10 \times 9 by 3 \times 2 \times 1 = 6 to find the actual number of donut combinations:

\begin{aligned} \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of 3 objects from a set of 11 distinct objects:

\begin{aligned}\begin{pmatrix}11 \\ 3\end{pmatrix} &= \frac{11 !}{(11 - 3)! \times 3 !} \\ &= \frac{11 !}{8 ! \times 3 !} \\ &= \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}.

5 0
2 years ago
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