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3 years ago

5(4x−3)−(3x+1)=3(5x+9)+2x

Mathematics

2 answers:

grandymaker [24]3 years ago

6 0

Answer:

No Solutions!

Step-by-step explanation:

This equation is particularly long, none the less, here:

5(4x−3)−(3x+1)=3(5x+9)+2x

First, you must distribute each number before a parenthesis, into the parenthesis.

5*4x is 20x----5*-3 is -15

(Yes! You distribute that negative sign)

-1*3x is -3x---- -1*1 is -1

Now on the OTHER side of the = sign...

3*5x is 15x----3*9 is 27

Now your equation should look like this...

20x-15-3x-1=15x+27+2x

Add like terms!

Now it looks like...

23x-16=17x+27

subtract 17x from 23x

now add 16 to 27

you are left with....

6x=43

DIVIDE EACH SIDE BY THE X VALUE (6)

43 divided by 6 is 43/6

After you work this problem, you realize it is not a true statement. Therefore there is no solution.

I suggest using https://www.mathpapa.com/algebra-calculator.html to CHECK your answers. DO NOT CHEAT YOU GAIN NOTHING!!!

Hope I helped!!! :)))))

Kruka [31]3 years ago

3 0

20x - 15 - 3x - 1 = 15x + 27 + 2x

17x - 16 = 17x + 27

17x - 17x = 27 + 16

0 = 43

Since zero is not equal to 43, this equation has no solution.

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Vitek1552 [10]

The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

Let x be the time and y be the distance.

Let the distance and time be linear to each other. Then the linear equation is given as

y - 36 = [(36 - 18) / (6 - 3)] (x - 6)

y - 36 = 6 (x - 6)

y = 36 + 6x - 36

y = 6x

Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

More about the linear system link is given below.

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2 years ago

6th grade math, help me pleasee

Pie

Answer:

12 feet per second

Step-by-step explanation:

All you would have to do is divide 60 by 5, which is 12. For 1 second she runs 12, 2 = 24, 3 = 26, 4 = 48, and 5 = 60! Hope this helped.

4 0

4 years ago

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What’s the answer to this helpppp pleaseee

drek231 [11]

Answer:

Y= -1x-1

Step-by-step explanation:

The slope is going down in a 1 to 1 ratio, so the slope is -1. The line crosses the x axis at -1, so the y intercept is -1

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3 years ago

Can you help me with this

MrRa [10]

Answer:

p(x - 4) = x³ - 12x² + 48x - 69

Step-by-step explanation:

To evaluate p(x - 4), substitute a = x - 4 into p(a), that is

p(x - 4) = (x - 4)³ - 5

= (x - 4)(x - 4)(x - 4) - 5 ← expand 2nd/ 3rd factors using FOIL

= (x - 4)(x² - 8x + 16) - 5 ← distribute parenthesis

= x³ - 8x² + 16x - 4x² + 32x - 64 - 5 ← collect like terms

= x³ - 12x² + 48x - 69

3 0

3 years ago

Which of the following equations has the same solutions as the equation 3x+2y=-12? Check all that apply.

grigory [225]

ANSWER

$B,C,E \: and \: F$

EXPLANATION

The given equation is
$3x + 2y = - 12$

The solution to this equation can be found by making y the subject.

$\Rightarrow \: 2y = - 3x - 12$

$\Rightarrow \: y = - \frac{3}{2} x - 6$
This equation has infinitely many solution. Any real value we choose for x, there is a corresponding y-value.

To find which of the given options also has the same solution, we make y the subject.

A

$3x - 2y = 12$

$\Rightarrow \: - 2y = - 3x + 12$

$\Rightarrow \: y = \frac{3}{2} x - 6$

This is not the same as the given equation.

B

$- 3x - 2y = 12$

$\Rightarrow \: - 2y = 3x + 12$

$\Rightarrow \: y = - \frac{3}{2} x - 6$

This solution is the same as the one given.

C.
$15x + 10y = - 60$

$\Rightarrow \: 10y = - 15x - 60$

$\Rightarrow \: y = - \frac{15}{10} x - \frac{60}{10}$

$\Rightarrow \: y = - \frac{3}{2} x - 6$

This is the same as the above solution.

D.
$6x + 2y = - 12$

$\Rightarrow \: 2y = - 6x - 12$

$\Rightarrow \: y = - 3 x - 6$

This is not the same as the one given.

E.

$6x + 4y = - 24$

$\Rightarrow \: 4y = - 6x - 24$

$\Rightarrow \: y = - \frac{6}{4} x - \frac{24}{4}$

$\Rightarrow \: y = - \frac{3}{2} x - 6$

This is the same as the one given.

F.

$1.5x + y = - 6$

$\Rightarrow \: y = - 1.5x - 6$

$\Rightarrow \: y = - \frac{3}{2} x - 6$

Thus is the same as the one given.

G.
$x + \frac{2}{3} y = - 12$

$\Rightarrow \: \frac{2}{3} y = - x - 12$

$\Rightarrow \: y = - \frac{3}{2} x - 12 \times \frac{3}{2}$

$\Rightarrow \: y = - \frac{3}{2} x - 18$

This is not the same as the one given.

4 0

3 years ago

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