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4 years ago

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

2 answers:

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
-3x + 2y = 9

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.

3x - 4(-9) = 9

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]4 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 y to get -9 = x]

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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Suppose that the supply of x units of a product at price p dollars per unit is given by the following.

Ira Lisetskai [31]

Answer:

(a) dp/dx = 90/(x+2)

(b) $2.25

exact = $2.22

Step-by-step explanation:

$p = 20 + 90 \ln(2x + 4)$

(a) To find the rate of change, differentiate $p$ with respect to $x$ :

$\implies \frac{d}{dx}(p) = \frac{d}{dx}(20) + \frac{d}{dx}(90 \ln(2x + 4))$

$\implies \frac{dp}{dx}=0+90\times\dfrac{1}{2x+4}\times2$

$\implies \frac{dp}{dx}=\dfrac{180}{2x+4}$

$\implies \frac{dp}{dx}=\dfrac{90}{x+2}$

(b) Find $\frac{dp}{dx}$ when $x=38$ :

$\implies \frac{dp}{dx}=\dfrac{90}{38+2}$

$\implies \frac{dp}{dx}=\dfrac{90}{40}$

$\implies \frac{dp}{dx}=2.25$

(c) Approximate price increase associated with the number of units supplied changing from 38 to 39 is $\frac{dp}{dx}$ when $x=38$

$\implies \$2.25$

Exact price increase:

$\implies \left. p \right_{x=39}-\left. p \right_{x=38}\\\\\implies [20 + 90 \ln(2 \times 39 + 4)]-[20 + 90 \ln(2\times38 + 4)]\\\\\implies 416.6047323...-414.3823972...\\\\\implies 2.222335133...\\\\\implies \$2.22$

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Answer:

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Step-by-step explanation:

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In Exercise,find the horizontal asymptote of the graph of the function. f(x) = 25/1+4x

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Answer:

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I attached the graph of the function. Graphically it can be seen that the horizontal asymptote of the graph of the function is y=0. There is also a vertical asymptote at x=-1/4

When denominator's degree (1) is higher than nominator's degree (0) then the horizontal asymptote is y=0