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1 year ago

2/x+3/y=9/x;4/x+9/y=21/xy(x=0,y=0)

Mathematics

1 answer:

vova2212 [387]1 year ago

7 0

The solution to the equations 2/x+3/y=9/xy; and 4/x+9/y=21/xy are x = 1, and y = 3.

<h3>What is a linear equation?</h3>

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The complete question is:

Solve for x and y:

2/x+3/y=9/xy; and 4/x+9/y=21/xy x ≠ 0, y ≠ 0

We have two equations:

2/x+3/y=9/xy;

4/x+9/y=21/xy

Solving substitution method:

$\rm \dfrac{4}{\dfrac{9-2y}{3}}+\dfrac{9}{y}=\dfrac{21}{\dfrac{9-2y}{3}y}$

y = 3

x = 1

Thus, the solution to the equations 2/x+3/y=9/xy; and 4/x+9/y=21/xy are x = 1, and y = 3.

Learn more about the linear equation here:

brainly.com/question/11897796

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Answer:

Call option and put option ( D )

Step-by-step explanation:

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<em>Call option is used when the trader is currently holding a short position</em>

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2 years ago

my hw write find an equation of the line passing through (-2,3) and (4,-5) I have to write the equation in slope-intercept form

Viefleur [7K]

Answer:

The line passing through the given points is:

$y=-\frac{4}{3}x+\frac{1}{3}$

in its slope-intercept form

Step-by-step explanation:

Start by finding the slope of the segment that joins the two given points using the slope formula:

$slope=\frac{y_2-y_1}{x_2-x_1}$

which for our case renders:

$slope=\frac{3-(-5)}{-2-4}=\frac{8}{-6} =-\frac{4}{3}$

Now we can find the y-intercept by using any one of the given points in the general slope-intercept form of a line with this slope:

$y=-\frac{4}{3} x+b\\3=-\frac{4}{3} (-2)+b\\3=\frac{8}{3}+b\\b=3-\frac{8}{3} \\b=\frac{9-8}{3} \\b=\frac{1}{3}$

Therefore, the equation of the line becomes:

$y=-\frac{4}{3}x+\frac{1}{3}$

3 0

2 years ago

In triangle ABC, the measure of angle B is 90 degrees, BC=16, and AC=20. triangle DEF is similar to triangle ABC, where vertices

kkurt [141]

<span>The third side of triangle ABC is AB. Using the Pythagorean Theorem, its length is 12.
12² + 16² = 20²

∠F is congruent to ∠C and so the sin(∠F) = sin(∠C)

The sin(∠C) = opposite/hypotenuse
= |AB| / |AC|
= 12/20
= 3/5
= 0.6

So the answer is 0.6.</span>

6 0

3 years ago

Samantha, Nyla, and Jerry own shares of stock in the Triumph Hotels company. The shares of stock that they own have a combined v

Serjik [45]

Answer:

The value of the shares Samantha owns is $3,010

Step-by-step explanation:

Step 1

We add all the shares together and find out the cost of each share per dollar

Samantha owns 70 shares, Nyla owns 50 shares, and Jerry owns 40 shares.

Total amount of shares = (70 + 50 + 40) shares

= 160 shares

Step 2

The cost of share per dollar =

Values of shares/ Total number of shares

= $6,880/160 shares

= $43

1 share = $43

Step 3

The value of the shares Samantha owns is calculated as:

Number of shares Samantha owns × cost of share per dollar

Samantha owns 70 shares

Hence:

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The value of the shares Samantha owns is $3,010

6 0

2 years ago

I need help with this.

kumpel [21]

Answer:

x = 0, 6

Step-by-step explanation:

The solutions are called the x-intercepts or roots. Sometimes they are called zeros. They are where y = 0 which is the x-axis. It is where the function crosses the x-axis. Here the axis counts by 2. So it crosses at 0 and 6.

8 0

2 years ago

2/x+3/y=9/x;4/x+9/y=21/xy(x=0,y=0)​

2/x+3/y=9/x;4/x+9/y=21/xy(x=0,y=0)