Which of these steps will eliminate a variable in this system? 4x-9y=8 2x+3y=24

Answers

Answer 1

For eliminate a variables we need addition method or elimination method.

Define the term Variable?

In an equation or formula, a variable is a symbol or letter that stands in for an unknowable or varying quantity or value.

We can multiply the second equation by -2, so that the coefficient of x in both equations will be the same but with opposite signs:

⇒ 4x - 9y = 8

⇒ -4x - 6y = -48

Add the two equations together: ⇒ -15y = -40

⇒ y = 8/3

Substitute this value of y back into either equation to solve for x.

⇒ 4x - 9(8/3) = 8

⇒ 4x - 24 = 8

⇒ x = 8

Therefore, the steps to eliminate a variable in this system using the addition method are to multiply the second equation by -2, add the two equations together to eliminate the x variable, solve for y, and then substitute that value back into either equation to solve for x.

To know more about elimination method, visit:

https://brainly.com/question/25427192

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Related Questions

Pls I’m rlly dumb it’s easy math picture here

Answers

Answer:

D. 2x, -4y and 8 :)

Step-by-step explanation:

Question 1 Part A: How many beads did Jiao send out? *
Wooden Beads
Oak
4,525
Maple
6,950
Ash
3,720
Ebony
2,475
Bayong
1,250

Answers

Answer:

Jiao sent out 18,920 beads.

Step-by-step explanation:

All I did was add.

</3 hope this helps.

What is x and y called together in parenthesis?

Answers

Ordered pair? Is that what you are looking for?

Answer:

coordinates...

Step-by-step explanation:

x and y in parenthesis looks like: (x,y)

these are called coordinates

I need to turn this in by tomorrow!!!!! PLEASE HELP ME.

Answers

Step-by-step explanation:

Alternate interior angles :- 1 , 4

corresponding angles :- 3

same side interior angles :- 2 , 5 , 6

Each batch makes 24 cookies. You make x batches of cookies, but eat 5 cookies as you are baking. Write an expression for the number of cookies that you have.

Answers

Answer:

24x-5

Step-by-step explanation:

x= number of batches

24x -5

Am gonna give branliest!!!

Answers

the answer is B. -12°f

To solve the problem -9 + 18 what is the first step?
a. KCO (keep change fli[p)
b. Subtract 18 - 9
c. Subtract 9 - 18
d. Add 9 + 18

Answers

Answer:

Step-by-step explanation:

Help this is due at 11:59

Answers

Answer:

A

Hope this helped ;)

Itssssssndjdnhfhfn a

Express the number 7,980 in scientific notation.

Answers

Answer:

7.98x10^3

Step-by-step explanation:

10^3=1000

Answer:7.980 × 10^3

Step-by-step explanation:

Find the slope of the line passing through the points (5,6) and (5,-4).

Answers

Answer:

subtract -4-6/5-5

Step-by-step explanation:

Answer is no solution

Which equation represents the vertical line passing through (7,-3)?
A
X=-3
B. y=-3
C.
x=7
D.y= 7

Answers

Answer:

a

Step-by-step explanation:

(0,-3)

-3 x axis form a vertical line

Answer:

c. x=7

Step-by-step explanation:

please help!!!!!!!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

By solving (x+6)(x-9), we get x^2 - 3x - 54. By looking at our y-intercept, we can see that only option A has the correct intercept.

Answer:

A

Step-by-step explanation:

Is 4 a solution to the equation 5+x=10? Explain.

Answers

Answer:no

Step-by-step explanation:

9514 1404 393

Answer:

  no, it makes the equation false

Step-by-step explanation:

A "solution" is a value of x that makes the equation true. When we use 4 in place of x here, we get ...

  5 + 4 = 10

  9 = 10 . . . . . . . a false statement

The value x=4 does not make the equation true, so it is not a solution.

Un comerciante tiene en cartera una letra de 14000 con vencimiento a 2 años y le somete a un descuento bancario 1 año y 8 meses antes de su vencimiento a una taza de 14%anual con capitalización trimestral ¿cuanto recibira el propetario de la letra ?

Answers

Answer:

dud

Step-by-step explanation:

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vbjjkkkkkkjjjjhcblxkcjl

Can someone plz explain to me how to do this !? Geometry

Answers

The scale factor is 3

if you look at the graph its y3 x3 the larger one is y9 x9 if you divide the two you get 3

can you please give brainliest

The SAT is required of most students applying for college admission in the United States. This standardized test has gone through many revisions over the years. In 2005, a new writing section was introduced that includes a direct writing measure in the form of an essay. People argue that female students generally do worse on math tests but better on writing tests. Therefore, the new section may help reduce the usual male lead on the overall average SAT score (The Washington Post, August 30, 2006). Consider the following scores on the writing component of the test of eight male and eight female students.


Males Females
620 660
570 590
540 540
580 560
590 610
580 590
480 610
620 650
570 600
610 620
590 630
570 640
610 590
590 640
570 580
550 560
530 570
560 560
620 600
520 600
560 590
620 590
580 590
610 630
530 560
480 600
590 560
620 560
590 560
580 560

Required:
a. Construct the null and the alternative hypotheses to test if females outscore males on writing tests.
b. Assuming the difference in scores is normally distributed, calculate the value of the test statistic. Do not assume that the population variances are equal.
c. Implement the test at α=0.01 and interpret your results.

Answers

Answer:\

a

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 \le 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 > 0[/tex]

b

[tex]t  = -0.39[/tex]

c

The conclusion

There is sufficient evidence to conclude that the female outscores the male.

Step-by-step explanation:

From the question we are told that

  The  sample size for male  is  [tex]n_1  =  30[/tex]

    The sample size for female is  [tex]n_2  =  30[/tex]

 The level of significance is  [tex]\alpha = 0.01[/tex]

The null hypothesis is  [tex]H_o : \mu_1 - \mu_2 \le 0[/tex]

The alternative hypothesis is  [tex]H_a :  \mu_1 - \mu_2 > 0[/tex]

Generally the sample mean for male is  

     [tex]\= x_1  =  \frac{\sum x_i}{n_1}[/tex]

=>   [tex]\= x_1  =  \frac{620 + 570 +540 + \cdots + 580  }{30}[/tex]

=>   [tex]\= x_1  =  574.33 [/tex]  

Generally the standard deviation of  male is  

     [tex]s_1 = \sqrt{\frac{\sum (x_1 - \= x)^2}{n_1} }[/tex]

=>  [tex]s_1 = \sqrt{\frac{ (620 - 574.33)^2 + (570 - 574.33)^2 +  (540 - 574.33)^2 + \cdots +(580 - 574.33)^2  }{30} }[/tex]

=>  [tex]s_1 =206.24 [/tex]

Generally the sample mean for female is  

     [tex]\= x_2  =  \frac{\sum x_i}{n_2}[/tex]

=>   [tex]\= x_2  =  \frac{660 + 590 +560 + \cdots + 560  }{30}[/tex]

=>   [tex]\= x_2  =  593.33 [/tex]      

Generally the standard deviation of  male is  

 [tex]s_2 = \sqrt{\frac{\sum (x_1 - \= x)^2}{n_2} }[/tex]

=>  [tex]\sigma_1 = \sqrt{\frac{ (660 - 593.33)^2 + (590 - 593.33)^2 +  (560 - 593.33 )^2 + \cdots +(560 - 593.33)^2  }{30} }[/tex]

=>  [tex]s_2 =169.31 [/tex]

Generally the degree of freedom for unequal  variance is mathematically represented as  

[tex]df  =  \frac{[\frac{s_1^2}{n_1}  +\frac{s_2^2}{n_2}   ]^2}{ \frac{[\frac{s_1^2}{n_1}]^2}{n_1 -1}  +\frac{[\frac{s_2^2}{n_2}]^2}{n_2 -1}  }[/tex]

=> [tex]df  =  \frac{[\frac{206.24^2}{30}  +\frac{169.31^2}{30}   ]^2}{ \frac{\frac{206.24^2}{30}}{30 -1}  +\frac{\frac{169.31^2}{30}}{30 -1}  }[/tex]

=>[tex]df  = 56[/tex]

Generally the test statistics is mathematically represented as

  [tex]t  = \frac{\= x _1- \= x_2 }{\sqrt{\frac{s_1^2}{n_1}  + \frac{s_2^2}{n_2}} }[/tex]

=> [tex]t  = \frac{574.33- 593.33 }{\sqrt{\frac{206.24^2}{30}  + \frac{169.31^2}{30}} }[/tex]

=> [tex]t  = -0.39[/tex]

From the t distribution table the value of  [tex]P(t < -0.39)[/tex] at a degree of freedom of  [tex]df  = 56[/tex] is  

   [tex]P(t <  -0.39) = 0.3490080[/tex]

Hence the p-value  is   [tex]p-value =  0.3490080[/tex]

From the values obtained we see that the p-value  is  >[tex]\alpha[/tex]

Hence we fail to reject the null hypothesis.

The conclusion is  

  There is sufficient evidence to conclude that the female outscores the male

 

Can anyone answer this question

Answers

Answer:

24

Step-by-step explanation:

Dr. Pagels is a mammalogist who studies meadow and common voles. He frequently traps the moles and has noticed what appears to be a preference for a peanut butter-oatmeal mixture by the meadow voles vs apple slices are usually used in traps, where the common voles seem to prefer the appe slices. So he conducted a study where he used a peanut butten oatmeal mixture in half the traps and the normal apple slices in his remaining traps to see if there was a food preference between the two different votes
Indicate which of the following is the null hypothesis, and which is the alternate hypothesis
a. There food preferences among vole species are independent of one another.
b. There is a relationship between voles and food preference.
c. To test for independence, we need to calculate the Chi-square statistic.
These are the data that Dr. Pagels collected
meadow voles common voles
apple slices 15 21
peanut butter-oatmeal 25 16

Answers

Answer:

The food preferences among vole species are independent of one another.

Step-by-step explanation:

The hypothesis can be defined as follows:

H₀: The food preferences among vole species are independent of one another.

Hₐ: There is a relationship between voles and food preference.

The data provided is:

                                           meadow voles            common voles

                 apple slices                15                                   21

peanut butter-oatmeal               25                                    16

A Chi-square test for the Goodness of fit will be used.

The expected values are computed using the formula:

[tex]E_{i}=\frac{\text{ith Row Total}\times \text{jth Column Total}}{N}[/tex]

Consider the Excel sheet attached.

The Chi-square statistic value is 2.861.

Compute the degrees of freedom as follows:

df = (r - 1)(c - 1)

   = (2 - 1)(2 - 1)

   = 1

Compute the p-value as follows:

[tex]p-value=P(\chi^{2}_{(1)}>2.861)=\text{CHISQ.DIST.RT(2.861,1)}=0.091[/tex]

The p-value = 0.091 > α = 0.05

The null hypothesis will not be rejected.

Thus, it can be concluded that the food preferences among vole species are independent of one another.

The sum of 2 numbers is -47. 1 number is 15 more than the other. Find the number.

Answers

N+15=M N+M=-47 -47-15=-62 -62/2=-31 -31+-16=-47, therefore the answer is N=-31 and M=-16

insert two arithmetic means between 15 and 36​

Answers

Answer: a_1 = 15

a_4 = 36

a_n = a_1 + (n - 1)d

36 = 15 + (4 - 1)d

21 = 3d

7 = d

15, 22, 29, 36

Solving and Graphing a Compound Inequality
Select the graph that represents the solution of the compound inequality-6 S 4x + 6 < 14.
-5
2.
-1
0
1
+
4
2
3
5
4 3
-2
1
1
0
2
4
1
-3
-2
11
2
0
1
3
4
5
-2
-1
0
1
1
+
2
+
3
+
4
5

Answers

Number 4 because if you do the thing then you will get 0

2(x + 1) = −2
writ this down on a piece of paper

Answers

Answer:

X= -2

Step-by-step explanation:

guys what is 265 divided by 53

Answers

Answer:

5

Step-by-step explanation:

265/53= 5

Answer:

265÷53=5

Step-by-step explanation:

just get a calculator

What's another way to express the expression [4(17) + 3(25)] x 5?

Answers

Answer:

715

Step-by-step explanation:

[4(17) + 3(25)] x 5

(68+3*25)*5

(68+75)*5

143*5

175

The regular price of a bathing suit is $89.99. Estimate the sale price of the 25 points
bathing suit at 70% off regular price.
$27.00
$82.99
$19.99

Answers

You will pay $27.00 with 70% off

Hi guys I’m bored can someone talk to me please? :)

Answers

Answer:

sure

Step-by-step explanation:

Answer:

hello

Step-by-step explanation:

if x=2+ root 3 then find the value of (x-1/x)^3​

HELP ASAP

Answers

Answer:

10 and ten-elevenths

Step-by-step explanation:

x = 2 + _/3

(x-1/x)^3

(2+_/3)^3 - (1÷2+_/3)^3

= (8 + 3) - 1 ÷ (8 + 3)

= 11 - 1/11

= 10 10/11

If your gross annual income is $80,400 and your employer will match 50% of your retirement
contributions to your 401k up to your maximum contributions of 6% of your salary, what is
the maximum dollar amount that together you and your employer will contribute annually?

Answers

Answer:

Well, due to the 6% add on, you could go up to 85,400 within the first year, however I am not quite sure for the 401k. Have a good day!

Step-by-step explanation:

oof i forgot to put the picture in thelast question sorry no trolls i will give brainliest to the answer that help me :))

Answers

Answer:

my GUESS would be A

Step-by-step explanation:

because 2+4=6

but also kinda slow soo.....

Answer:was it 3?

Step-by-step explanation:

thats wat i got not sure tho

Need help please if right get brainliest

Answers

Answer: -2

Step-by-step explanation:

The answer is -2 tell me if I’m wrong !<3
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