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3 years ago

Solve in one variable 2/3x + 5 = 3/2x

1 answer:

Montano1993 [528]3 years ago

5 0

First, we group together the terms with variables in one side by subtracting 3/2 x and 5 from both sides of the equation.
(2/3)x - (3/2)x + 5 - 5 = (3/2)x - (3/2)x - 5
(-5/6)x = -5
The value of x from the equation is 6.

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Help even tho it’s multiple choice make sure you are correct... I beg you lol

kondaur [170]

Answer:

The equation of the line is:

$y=(-\frac{1}{2})x+1$

Therefore, option a is the correct answer.

Step-by-step explanation:

Given the points

(-2, 2)

(4, -1)

Finding the slope

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-2,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:-1\right)$

$m=\frac{-1-2}{4-\left(-2\right)}$

$m=-\frac{1}{2}$

As the point-slope form of the equation of the line is

$y-y_1=m\left(x-x_1\right)$

where m is the slope

substituting the values $m=-\frac{1}{2}$ and the point (-2, 2)

$y-y_1=m\left(x-x_1\right)$

$y-2=\frac{-1}{2}\left(x-\left(-2\right)\right)$

$y-2=\frac{-1}{2}\left(x+2\right)$

$y-2=-\frac{1}{2}\left(x+2\right)$ ∵ $\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

Add 2 to both sides

$y-2+2=-\frac{1}{2}\left(x+2\right)+2$

$y=(-\frac{1}{2})x+1$

Hence, the equation of the line is:

$y=(-\frac{1}{2})x+1$

Therefore, option a is the correct answer.

4 0

3 years ago

What is the GCF of 52/65?

9966 [12]

Answer:

The greatest Common factor of 52/65 is 13!

Step-by-step explanation:

Hope this helps :)

Pls make brainliest :p

And have an amazing day <3

3 0

3 years ago

Read 2 more answers

Divide and simplify 6 divided by 2 2/3

Ilya [14]

6/2
3*2/3
12
Is the answer...

7 0

3 years ago

The real risk-free rate is 3% and the inflation is expected to be 3% for the next 2 years. a 2 year treasury security yields 6.3

agasfer [191]

The maturity risk for premium is 12.6%

4 0

3 years ago

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Alecsey [184]

Answer:

x= 56 degree

Step-by-step explanation:

sin x= opposite/ hypotenuse

sin x= 66/79

sin x=0.84

sin-1(0.84)= x

x= 56 degree

3 0

3 years ago