5x+4y=16 -2x-4y=-4
Show your step by step process.
Solve the system of linear equations.​

Answers

Answer 1

Answer:

x=1 and y= 5[tex]\frac{1}{4}[/tex]

Step-by-step explanation:

To solve this, lets take the first equation and find the x value.

Because it is ordered in standard form, we need to convert to slope-intercept form, and isolate the y.

5x+4y=16

-5x       -5x

4y=-5x+16

÷4   ÷4  ÷4

y=[tex]\frac{-5}{4}[/tex]+4

or

y=-1[tex]\frac{1}{4}[/tex]+4

or

y= 5[tex]\frac{1}{4}[/tex]

Now that we have the y value, we can use this to find the x value by inserting it into either equation, since they both have y values in them. Going with the first one again, lets try it:

5x+4([tex]\frac{-5}{4}[/tex]+4)=16

5x-5+16=16

5x+11=16

    -11 -11

5x=5

÷5 ÷5

x=1 and y= 5[tex]\frac{1}{4}[/tex]


Related Questions

Rosie spent a total of $9.36 over 4 weeks. She spent the same amount of money each week. How much money did Rosie spend each week?

Answers

Answer:

2.34

Step-by-step explanation:

9.36÷4 =2.34

you divide on 4as showen

write number 5 million 4 thousand 3 hundread in standard form

Answers

5 million, four thousand, three hundred in standard form is 5.0043 x 10^6

Solution:

Need to represent 5 million, four thousand, three hundered in standard form

5 million = 5000000

4 thousand = 4000

3 hundred = 300

5 million, four thousand, three hundred = 5000000 + 4000 + 300 = 5004300

In standard form, decimal comes after first digit and multiply to power of 10 dependency on total digits of number.

In our case, given number is 5004300.

So we need decimal after first and after that multiplying it by appropriate power of 10. So,

5004300 = 5.0043 x 10^6

Hence 5.0043 x 10^6 is standard form of 5004300 that is standard form of 5 million, four thousand, three hundred.

75% of b is 11 what is b

Answers

Answer:

14.67

Step-by-step explanation:

14.67 because you take 100 times 11 to get 1100. Then you divide 1100 by 75 to get the answer

You travel 36 miles north and then 15 miles east. How far are you from your starting point?

Answers

Answer:

21 is the correct answer because

I am about to go on trip help

Answers

Answer:

1 inch = 8 miles

112÷14=8, so one inch is 8 miles.

98 just yk do the math

A can contains 24 fluid ounces of fruit juice. how many pints of juice does the can contain?​

Answers

Answer:

I believe it contains 1.5 pints of juice.

Step-by-step explanation:

There are 30 animals up for adoption, and the ratio of fish to hamsters is 1:2 , how many hamsters are up for adoption?

Answers

Answer:

20

Step-by-step explanation:

If the ratio of fish to hamster is 1:2 meaning that there are 2 times as much as hamsters than fish. Since I don't know if there is any other animals involved. My guess are that there are 10 fishes and 20 hamsters

Answer: 20 hamsters  You're welcome :)

Step-by-step explanation: On the ratio, you would have to plus from the 1 & 2 ratios which, is (10 + 20) equals 30

GUYS PLS HELP!!
all i need to know is what x is please

Answers

Answer:

Option C

Step-by-step explanation:

Area of the composite figure = Sum of the areas of three rectangles given

                                                = (3x)(x) + 4x + 3(3x)

                                                = 3x² + 4x + 9x

                                                = 3x² + 13x

Since, area of the figure = 82

Therefore, expression representing area of the figure is,

3x² + 13x = 82

Option (C) will be the answer.

Here, x is a variable.

And we can get the value of x by using quadratic formula.

Can someone help me pleaseeeeee 60 points

A company uses the expression 1.03^(2+x) to calculate the total percent increase in the company's operating cost, where x represents the number of years since the company began operating.
Which expression could be used to calculate the same total percent increase in the company's operating cost?

a.) 1.03^2 + 1.03^x

b.) 1.03^2 * 1.03^x

c.) 1^(2 + x) + 0.03^(2 + x)

d.) a^(2 + x) * 0.03^(2 + x)

Answers

Answer: is D

Step-by-step explanation:

Answer:

(B)

Step-by-step explanation:

According to exponent rules, a^(x+y) = a^x * a^y:

1.03^(2 + x) = 1.03^2 * 1.03^x

Solution: (B)

y = 2x – 1

how do you graph this linear equation???​

Answers

Answer:

You can choose x as any value like x = 7

if x were to equal 7 then

the equation would be y = 2 times 7 - 1

2 times 7 = 14 and 14-1 = 13

y would be 13 ifi x was 7

so you can graph the point 7,13

Step-by-step explanation:

What is the equation of the line that is parallel to y=-x+4 and that passes through (-2,-2)?

Answers

Answer:

y=-x-4

Step-by-step explanation:

27 = 54
value that would make it true

Answers

Answer:

2

Step-by-step explanation:

27 = 54,

let's say the value that will make it true is x

So then,

27 * x = 54. If we divide both sides by 27, we have

x = 54 / 27

x = 2

The value that will make it true is multiplying 27 by 2

can someone please help me, i put it at 40 points :) please help.

Answers

Answer:

5x + 2

Step-by-step explanation:

X is going to be the "number"

5 times the number

and then add two

Answer:

2 + 5 x n  

Hope this helps

PLEASE HELP!!! WILL MARK BRAINLIEST!!!

Answers

Answer:

i cant see.. zoom in

Step-by-step explanation:

i cant see.. zoom in

John is saving money for a new TV. He would like to save
at least $500. He earns $15 each week and has $125
saved up. Which inequality best describes the number of
weeks he must save his money?

Answers

Answer:dada

Step-by-step explanation:

dada

Try solving this: (5 3/4) (2)

Answers

Answer:

11 1/2

Step-by-step explanation:

help me out ? ty I’ll give brainliest

Answers

Answer:

it will

Step-by-step explanation:

33.46

hope it helps and your day will full of happiness

The table of values shows the height of a car of a Ferris wheel as it travels in a circular motion. Which statements are true? Select each correct answer.
The car makes a complete revolution in 12 s

The maximum height of the Ferris wheel above ground is 50 yd.

If the car is loaded at 0s, then people are loaded at the lowest height of the Ferris wheel.
The radius of the Ferris wheel is 25 yd​

Answers

Answer:

The true statements are;

The car makes one complete revolution in 12 s

The radius of the Ferris wheel is 25 yd

Step-by-step explanation:

The values of the table of the given Ferris wheel are presented here as follows;

[tex]\begin{array}{cc}Time \ (seconds) &Height \ (yards)\\0&30\\3&55\\6&30\\9&5\\12&30\\15&55\\18&30\\21&5\\24&30\end{array}[/tex]

From the table, we have;

The time it takes the Ferris wheel to complete a motion round from a height of 30 yards and back to 30 yards which is one revolution = 12 s

∴ The time it takes the car to complete one revolution = 12 s

The maximum height of the Ferris wheel = 55 yards

The lowest height of the Ferris wheel = 5 yards

The time at which the Ferris wheel is at the lowest height = 9 s, and 21 s

If the car is loaded at 0 s, then people are loaded above the lowest height of the Ferris wheel

The diameter of the Ferris wheel = The maximum height of the Ferris wheel - The minimum height of the Ferris wheel

∴ The diameter of the Ferris wheel = 55 yards - 5 yards = 50 yards

The radius of the Ferris wheel, R = 1/2 × The diameter of the Ferris wheel

∴ The radius of the Ferris wheel, R = 1/2 × 50 yards = 25 yards

Therefore, the true statements are;

The car makes one complete revolution in 12 s

The radius of the Ferris wheel is 25 yd.

Jack, Jill, and Bill each carried a 48-fluid ounce bucket full of water down the hill. By the time they reached the bottom, Jack's bucket was only 3/4 full, Jill's was 2/3 full, and Bill's was 1/6 full. How much water did they spill altogether on their way down the hill?

Answers

Answer:

76 fl. oz. (see below)

Step-by-step explanation:

With the info:

(Jack) begin: 48 fl. oz.

          end: 3/4 of 48 fl. oz.

(Jill) begin: 48 fl. oz.

       end: 2/3 of 48 fl. oz.

(Bill) begin: 48 fl. oz.

       end: 1/6 of 48 fl. oz.

How much they spilled (sum):

First, find the amounts they spilled individually:

(Jack) (3/4) (48) = how much spilled

                           = 144/4

                           = 36 fl. oz.

(Jill) (2/3) (48) = how much spilled

                        = 96/3

                        = 32 fl. oz.

(Bill) (1/6) (48) = how much spilled

                        = 48/6

                        = 8 fl. oz.

36 + 32 + 8 = 76 fl. oz. spilled

which value is equivalent to​

Answers

7^2 I think is the write answer

help pls i will make u the brainiest

Answers

Answer:

I dont like kanacatamy

Step-by-step explanation:

but 17,000. 7,000. 200

first one is 20,000, second is 17,000, and third is 17,200



hope this helps! :D

Help asap plsss thank youuuuu!

Answers

So u can give dat person brainlist

WILL GIVE BRAINLIEST!!!
What are the zeros of this function?

−8

−9 and 10

1

−2 and 4

Answers

Answer:

-2 and 4 maybe

Step-by-step explanation:

I need help help please

Answers

Answer:

I think it is b

Step-by-step explanation:

I hope this is correct

Workout 2/7+1/5 and then simplyfy it

Answers

Answer:17/35

Step-by-step explanation:

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

LCD(2/7, 1/5) = 35

Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.

(2/7x5/5)+(1/5x7/7)=?

Complete the multiplication and the equation becomes

10/35+7/35=?

The two fractions now have like denominators so you can add the numerators.

Then:10+7

         ——- =17/35

            3

This fraction cannot be reduced.

Therefore:2/7+1/5=17/35

explain how to multiply 15 3/4 x 8

Please help! I don't have that long until it needs to be turned in.

Answers

Answer:

Step-by-step explanation:

The easiest way is to use the distributive rule. 15¾ = 15+ ¾

15¾*8 = (15+¾)8 = 15*8 + ¾*8 = 120+6 = 126

(2x2 + 3x - 1) + (x2 - x + 2)​

Answers

The answer is 5+4x

I hope it helps

Answer:

x = 2

Step-by-step explanation:

7x -1 + x+2

6x = 3

x = 2

!;!;!;?;/;/;/;/;/;;

2)
What is the value of x when x-3 = 10?
A)
-13
B)
-7
0
D)
13

Answers

Answer:

13

Step-by-step explanation:

in the sequence 1.7, 5.1, 15.3, 45.9, 137.7, ... a geometric sequence?

Answers

Answer:

Step-by-step explanation:

A geometric sequence has a common ratio from term to term. Any term divided by the previous term will be a constant, common ratio.

5.1/1.7=3, 15.3/5.1=3, etc So the common ratio is 3 and thus it is a geometric sequence.

I need some help on this question! I will mark if you help!

Answers

Answer:

not completely sure, but if 81 is the total degree, then the answer should be 37, all u have to do is subtract....i think

Step-by-step explanation:

sorry if wrong. good luck

Answer: 37°

Step-by-step explanation:

whole angle=81

81-44=37

Other Questions
please help due in 3 minutes will give brainliest. What is the equation for five times a number is 45? The development of cotton and woolen mills in the mill cities of England, and later New England, caused tremendous sociological change as potential workers (especially women) swarmed from rural areas to the growing industrial cities. Cite some examples of similar occurrences in more recent times in developing countries. Negative five times a number is less than the sum of negative six times the number and 12 Can someone please help need it urgently will give brainliest to first answer the question is in the photo :) identify the function shown in this paragraph Antibiotics interfere with prokaryotic cell functions. Streptomycin is an antibiotic that interferes with the proper binding of tRNA to mRNA in prokaryotic ribosomes. Which of the following best predicts the most direct effect of exposing prokaryotic cells to streptomycin? A. Amino acid synthesis will be inhibited. B. No mRNA will be transcribed from DNA C. Posttranslational modifications will be prevented. D. Synthesis of polypeptides will be inhibited. How do you add fractions and whole numbers together? For example 1/4+2 erolds weekly pay rate is $865. He receives a 25% pay raise. How can Jerold calculate his new weekly pay rate? Select all that apply. A divide $865 by 0.25 B divide $865 by 1.25 C multiply $865 by 0.25 D multiply $865 by 1.25 E Solve for x: x8655 125100F Solve for x: 865x5 25100 NEED HELP RIGHT AWAY!!!Point P on the coordinate grid below shows the location of a stage light. A second stage light is 6 units above P. The length of each square on the grid is 2 units. What are the coordinates of the location of the second stage light?(8, 10)(8, 2)(14, 2)(14, 10) In "Homesick," what is the narrator's viewpoint about singing "God Save the King?"She is jealous of how well the other children sing the song.She enjoys singing the song because it makes her feel like a part of the group.She would prefer to sing the Chinese national anthem because it is where they live.She does not want to sing the song because thinks it is disloyal to America.Question 2Part BWhich quotation from the text helps readers to distinguish the narrator's viewpoint from her mother's viewpoint?"She told me things that sounded so crazy I had to ask my mother if they were true.""How could she know such things and not tell me? What was the matter with grown-ups anyway?""Theyd probably try to get the Romans to do what they did, just as they were trying to teach the Chinese to do what Americans did."'When in Rome,' she said, 'do as the Romans do.' What she meant was, 'Dont make trouble. Just sing.' If tn=18t, what value of n makes this equation true? plzzzzzzzzzzzzzz helpppppppp meeee PLZZ HELP I WILL GIVE YOU 30 POINTS!!!!! FAST PLS Mary bought 10 1/2 pounds of turkey for a picnic. There were 4 3/4 pounds of turkey left after making 25 turkey sandwiches. Which statement is true? A The quotient 53425=23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich. B The quotient 53425=23100 means the average change in the total amount of turkey increased by 23100 pound per sandwich. C The quotient 53425=23100 means the average change in the total amount of turkey decreased by 23100 pound per sandwich. D The quotient 53425=23100 means the average change in the total amount of turkey increased by 23100 pound per sandwich. Gavin wants to buy a jacket that sells for $38.95. An advertisement says that next week that jacket will be on sale for $22.50. How much will Gavin save if he waits until next week to buy the jacket? Which of the following is the graph of f(x) = -0.5|x + 31-2? What were rocks values in forever strong If a sales promotion increases an organization's profits, it means it has fixed any problems with the marketing plan.