Use the elimination method to solve the system of equations.Choose the correct ordered pair. - x + y = - 2 and 2 x - 3y = 4

Answers

Answer 1

Answer:(2,0) x=2,y=0

Step-by-step explanation:

Let's solve your system by elimination.

−x+y=−2;2x−3y=4

Multiply the first equation by 2,and multiply the second equation by 1.

2(−x+y=−2)

1(2x−3y=4)

Becomes:

−2x+2y=−4

2x−3y=4

Add these equations to eliminate x:

−y=0

Then solve−y=0 for y:

−y=0

−y/−1 =0/−1

(Divide both sides by -1)

y=0

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−x+y=−2

Substitute0foryin−x+y=−2:

−x+0=−2

−x=−2(Simplify both sides of the equation)

−x/−1 = −2/−1

(Divide both sides by -1)

x=2


Related Questions

Each side length is doubled. What is the PERIMETER of the new figure?

Answers

Answer:

24 units

Step-by-step explanation:

Original perimeter:

5+4+3=12

When each side length is doubled, the original perimeter is doubled.

12*2=24

Answer:

if the length of each side is is doubled then

5×2 = 10

4×2 = 8

3×2 = 6

perimeter of new figure = 10 + 8 + 6

= 24 units

hope this helps good day mate

An eyewitness observes a hit-and-run accident in New York City, where 95% of the cabs are yellow and 5% are blue. A police expert believes the witness is 80% reliable. That is, the witness will correctly identify the color of a cab 80% of the time. If the cab is actually yellow, there is an 80% chance the witness will assert it is yellow, and if the cab is actually blue, there is an 80% chance the witness will assert it is blue. If a witness asserts the cab was blue, what is the probability that the cab actually was blue

Answers

Answer:

0.1739 = 17.39% probability that the cab actually was blue

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Witness asserts the cab is blue.

Event B: The cab is blue.

Probability of a witness assessing that a cab is blue.

20% of 95%(yellow cab, witness assesses it is blue).

80% of 5%(blue cab, witness assesses it is blue). So

[tex]P(A) = 0.2*0.95 + 0.8*0.05 = 0.23[/tex]

Probability of being blue and the witness assessing that it is blue.

80% of 5%. So

[tex]P(A \cap B) = 0.8*0.05 = 0.04[/tex]

What is the probability that the cab actually was blue?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.23} = 0.1739[/tex]

0.1739 = 17.39% probability that the cab actually was blue

Convert .45 tons to kilograms to the nearest hundredth

Answers

Answer:

40,823.31 kilograms.

Step-by-step explanation:

What is the arc measure of PQ?

Answers

Answer:

47.1

Step-by-step explanation:

l= rø

or, l= 18 × 5π/6

or, l= 15π

l = 47.1

47.1 your welcome now can you please help me with my history work

What percentage of births occur after day 12?

Answers

Answer:

the answer is 20% so good luck

four tenths plus four ninths

Answers

Answer:

38/45

Step-by-step explanation:

4/10+4/9 Simplify.

2/5*4/9    Find a common denominator (45).

2/5*9/9=18/45

4/9*5/5=20/45

18/45+20/45=38/45

Hope this helps and have a great day C:

what's the sum of 1,015 and 119​

Answers

1134 is the correct answer to that math problem

what is the total of 8 and 4 times y​

Answers

Answer:

12y?

Step-by-step explanation:

I’m assuming total meansd addition in this case and multiplying that by a variable or “y” would be 12y

i read the question wrong, nvm.

Question 9 of 10 What is one strategy that can help a person avoid spending too much money on interest when borrowing money? O A. Choosing a credit card with a low minimum monthly payment O B. Choosing a loan with a simple rather than compound interest rate O C. Choosing a credit card with a high minimum monthly payment O D. Choosing a loan with a compound rather than simple interest rate​

Answers

Answer:

Hello There!!

Step-by-step explanation:

The answer is B. Choosing a loan with a simple rather than compound interest rate.

hope this helps,have a great day!!

~Pinky~

What is the inverse of y=2x^2-8

Answers

Answer:

f − 1 ( x ) = √ 2 ( x + 8 ) /2 , − √ 2 ( x + 8 ) /2

keep it under whole root  

 

Step-by-step explanation:

Mike's scores on 5 quizzes he took are shown above. In which month was Mike's quiz score equal to the average of his 5 quizzes? Sept. 72, Oct. 83, Nov. 95, Dec. 77, Jan. 88​

Answers

Answer:

Oct.

Step-by-step explanation:

average = (72 + 83 + 95 + 77 + 88)/5 = 83

Use the formula speed distance/time to calculate each speed A train travels 120miles in 2hours speed= Mph

Answers

Answer:

60

Step-by-step explanation:

120 miles divided by 2 hours equals 60 mph

What is the expected value when rolling a fair 12-sided die?

Answers

Answer:

I think 1/12

Step-by-step explanation:

since the question didn't specifically the possibility of a certain number shown.

note this applies to probability related questions

The exact value of X

Answers

Answer:

x = 92

hope this answer helps you......

The correct answer

x = 14

Pythagorean theorem

50=c

48=b

?=a

a=√(50²-48²)

a=14

14#

Someone please help! I dont understand

Answers

Answer:

i willl help on all three if u help on my chemistry problems

39 is what percent of 52?​

Answers

Answer:

1.3 percent

Step-by-step explanation:

1. Verizon Wireless would like to estimate the proportion of households that use cell phones for their phone service without a land line. A random sample of 150 households was selected and 48 relied strictly on cell phones for their service. Based on the sample, construct a 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone service.

Answers

Answer:

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

A random sample of 150 households was selected and 48 relied strictly on cell phones for their service.

This means that [tex]n = 150, \pi = \frac{48}{150} = 0.32[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 - 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.2453[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.32 + 1.96\sqrt{\frac{0.32*0.68}{150}} = 0.3947[/tex]

The 95% confidence interval for the true proportion of households which rely strictly on cell phones for their phone serviceis (0.2453, 0.3947).

Can someone please help no links and if you can explain thank you so much ​

Answers

Answer:

detail attached

Step-by-step explanation:

I think it asks you to match the corresponding base and height

PLEASE HELP ME ASAP I WILL GIVE A BRAINLIST!!!!!!!!!!​

Answers

Answer:

a.

Mean:70.2

Median:60

Mode:85

b.

The mode best supports her claim as it is the highest of the three.

c.

Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)

Step-by-step explanation:

a.

The mean is the sum of all the terms, divide by the amount of terms:

(85+85+60+62+59)/5=351/5=70.2

The median is the middle-most number in the set 85,85,60,62,59: 60

The mode is the most common number in the set 85,85,60,62,59: 85

b.

The mode best supports her claim as it is the highest of the three.

c.

Her claim is misleading as it doesn't reflect the fact that her scores are declining and that she tends to actually do worse than 85 (most of her scores are below 85)

URGENT PLZ HELP!!!!!

Answers

Answer:

30% man this easy

Step-by-step explanation:

PLS GIMME BRAINLIEST PLS

How can I find the unknown side lengths when given the area or circumference of a figure?

Answers

Answer:

Set up the area/circumference equations using x as the unknown variable. Then, solve for that variable and apply the correct unit.

Step-by-step explanation:

For example,

Find the side length of a square with an area of 49 square centimeters.

Since [tex]area=s^{2}[/tex], i can write [tex]49=s^2\\then take the square root of each side to solve for s.\\s=\sqrt{49} \\s=7 centimeters[/tex]

In the LEFT column: Solve for y: 5 = –7y + 8

Answers

9514 1404 393

Answer:

  y = 3/7

Step-by-step explanation:

add 7y to both sides of the equation

  7y +5 = 8

Subtract 5 from both sides of the equation

  7y = 3

Divide both sides of the equation by 7

  y = 3/7

John used AABC to write a proof of the Centroid Theorem. He began by drawing medians AK and CL,

intersecting at Z. Next he drew midsegments LM and NP, both parallel to median AK.

Given: AABC with medians AK and CL, and midsegments LM and NP.

2

Prove: Z is located of the distance from each vertex of AABC to the midpoint of the opposite side.

3

Answers

Answer:

Hello your question is poorly written attached below is the complete question

answer :  attached below

Step-by-step explanation:

To Prove: Z is located 2/3 of the distance from each vertex of ΔABC to the midpoint of the opposite side. we will apply ; property of bisecting a line , equality theorem , transitive property and similarity theorem

Attached below is the proof

S - 4= -8
What is S?

Answers

Answer:

S = -4

Step-by-step explanation:

-8 minus -4 is basically -8-(-4) which converts to -8+4, and the result of that is -4.

Answer:

s-4+4=-8+4

s=-4

Step-by-step explanation:

x is equal to -4

PLZ ANSWER NO FAKE LINKS

Answers

Answer:

equation is 4*3 =12

Step-by-step explanation:

She had 12 guests because there was 4 parts each.

Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult ticket. the total cost of the six tickets is ? 40.50 work out the cost of an adult ticket. in your working let c be the cost of the child ticket and a be the cost of the adult ticket.

Answers

Answer:

child's ticket =  4.75        adult ticket=10.75.

Step-by-step explanation:

The cost of an adult ticket is 6 more than that of a child ticket, so will be denoted by c+6. Now, we are told that the cost of four child tickets and two adult tickets is 40.50, so we can put this in an equation and solve for c:

(c+6)+(c+6)+c+c+c+c=40.50

6c+12=40.50

6c=28.50

c=4.75

Therefore the cost of a child's ticket (c) is 4.75 and the cost of an adult ticket (c+6) is 10.75.

WALK-A-THON WALE
SPONSOR SHEET MA
Manuel
NAME
9. Make Sense and Persevere Beth, Manuel, and Petra
are collecting sponsors for a walk-a-thon. The equation
y= 20x represents the amount of money Beth raises
for walking x miles. The table shows the relationship
between the number of miles Manuel walks and the
amount of money he will raise. Petra will earn $15 for
each mile that she walks.
a. In order to compare the proportional relationships,
what quantities should you use to find the unit rate?
MILES WALKED
3
5
7
9
MONEY RAISED
$45
$75
$105
$135
b. Compare the amount of money raised per mile by the three people.

Answers

45x+zy=-c is the anser because of many reasons

Please help soon! Im timed!

Answers

Answer:

5 times a number and 7 : last option

8 more than the product of 7 : second option

5 less than the quotient of 8 ..... : first option

twice the difference of 8 and a number : thrid option

Step-by-step explanation:

Common sense

Find the value of x.

Answers

Answer:

116

Step-by-step explanation:

110+79+55=244

360-244=116

Answer:

116

Step-by-step explanation:

HELP ASAP!!! A spinner has three sections colored green, purple, and pink. If the spinner is spun twice, how many branches would the tree diagram that represents this situation have? 6 5 9 12

Answers

Answer:

The answer is 9.

Answer:

The answer is 9

Step-by-step explanation:

I got it right on the quiz

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