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3 years ago

HELP PLEASE I WILL GIVE BRAINLIEST

Mathematics

1 answer:

gayaneshka [121]3 years ago

6 0

Out of the three options the first one is the right answer with the given numbers

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Solve the system: 2/x - 3/y =-5; 4/x + 6\y =14

sertanlavr [38]

The solution is $x = 2 \text{ and } y = \frac{1}{2}$

Solution:

Let us assume,

$a = \frac{1}{x}\\\\b = \frac{1}{y}$

Given system of equations are:

$\frac{2}{x} - \frac{3}{y} = -5$

$\frac{4}{x} + \frac{6}{y} = 14$

Rewrite the equation using "a" and "b"

2a - 3b = -5 ------------ eqn 1

4a + 6b = 14 -------------- eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 1 by 2

2(2a - 3b = -5)

4a - 6b = -10 ------------- eqn 3

Add eqn 2 and eqn 3

4a + 6b = 14

4a - 6b = -10

( - ) --------------------

8a = 4

$a = \frac{4}{8}\\\\a = \frac{1}{2}$

Substitute a = 1/2 in eqn 1

$2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2$

Now let us go back to our assumed values

Substitute a = 1/2 in assumed values

$a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2$

Substitute b = 2 in assumed value

$b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}$

Thus the solution is $x = 2 \text{ and } y = \frac{1}{2}$

3 0

3 years ago

Write 19 as a complex number. (Answers choices in the pic above)

Dafna11 [192]

Answer:

Step-by-step explanation:

$\text{Complex number:}\ a+bi\\\\a,\ b\in\mathbb{R}\\\\i=\sqrt{-1}\to(immaginary\ unit)\\\\19=19+0i$

4 0

3 years ago

Read 2 more answers

When radioactive substances decay, the amount remaining will form a geometric sequence when measured over constant intervals of

svetoff [14.1K]

I am not sure because there is no info about what is rate of decay
I assume if there is rate of decay is constant every hour then 0-2 it is
It 1/4th
So for 1st hour it is 933 gram

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3 years ago

What is the equation of the line that passes through the point (-5,6) and has a slope of o?

Sav [38]

Y = 6
Because the slope is 0 and in slope intercept form the equation of a line is y = mx + b where m is the slope and b is the y intercept

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3 years ago

What is the interquartile range

elena-14-01-66 [18.8K]

The answer is six because you have to subtract the upper and lower quartile which are 18 and 16 in this case

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3 years ago