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3 years ago

Solve the system of equations below x-2y=3 2y-3y=9

1 answer:

Crank3 years ago

6 0

First you solve 2y-3y=9.
$2y - 3y = 9 \\ subtract \: 2y \: and \: 3y \\ - y = 9 \\ divide \: by \: - 1 \\ y = - 9$
Now that you have y, then you substitute y into x-2y=3 to find X

$x - 2( - 9) = 3 \\ multiply \: - 9 \times - 2 \\ x + 18 = 3 \\ subtract \: 18 \: on \: both \: sides \\ x = - 15$
Your solution is (-15, -9)

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Help question attached multiple choice

Rina8888 [55]

ANSWER

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

EXPLANATION

The given trigonometric equation is

$\cos(x) + 2 \cos(x) \sin(x) = 0$

We factor cos(x) to get:

$\cos(x) (1 + 2 \sin(x) ) = 0$

Apply the zero product property to obtain:

$\cos(x) = 0 \: or \: 1 + 2 \sin(x) = 0$

$\cos(x) = 0 \: or \: \sin(x) = - \frac{1}{2}$

Using the unit circle,

$\cos(x) = 0$

when

$x = \frac{\pi}{2}$

and

$x = \frac{3\pi}{2}$

We know

$\sin(y) = \frac{1}{2}$

when

$y= \frac{\pi}{6}$

The sine function is negative in the third and fourth quadrants.

$x = \pi + \frac{\pi}{6} = \frac{7\pi}{6}$

$x = 2\pi - \frac{\pi}{6} = \frac{11\pi}{6}$

Hence the solutions are:

$x = \frac{\pi}{2} , \frac{7\pi}{6} , \frac{3\pi}{2} , \frac{11\pi}{6}$

6 0

3 years ago

The sum of a number 8 and twice the number X is 28

hichkok12 [17]

ANSWERS ARE AT THE BOTTOM

To solve this question, we need to write the questions algebraically. Let's look at the problem first: The sum of a number 8, and twice the number x is equal to 28.

Algebraic form:

8 + 2x = 28

Lets solve this!

8 + 2x = 28 (Algebraic Form)

2x = 28 - 8 (Subtract 8 from both sides)

2x = 20 (Divide by 2)

x = 10 (Answer)

ANSWER:

x = 10

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2 years ago

Due tonight please help me

amid [387]

Answer:

k=61, l=61, m58

Step-by-step explanation:

5x+21=2x+45

3x=24

x=8

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2 years ago

Which are solutions of x^2 + 5x = 2 check all that apply

Evgen [1.6K]

X= -5/2 + 1/2 square of 33 or x= -5/2 + -1/2 square root of 33

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2 years ago

Read 2 more answers

What is m + m for math people of God

boyakko [2]

Answer: m2

Step-by-step explanation:

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3 years ago