4x+4y=4
3x+4y=10
Solve for elimination

Answers

Answer 1

Answer:

The solution is x=-6 and y=7

Step-by-step explanation:

Given equations are:

[tex]4x+4y =4\\3x+4y = 10[/tex]

In elimination method, the co-efficient of one of the variables are equated so that one variable can be eliminated by adding or subtracting the equations

In the given system of equations, the co-efficient of y is already same i.e. 4 so we only have to subtract the equations

Subtracting equation 2 from equation 1

[tex]4x+4y-(3x+4y) = 4-10\\4x+4y-3x-4y = -6\\4x-3x = -6\\x = -6[/tex]

Putting x = -6 in equation 1

[tex]4(-6)+4y = 4\\-24+4y = 4\\4y = 4+24\\4y = 28\\\frac{4y}{4} = \frac{28}{4}\\y = 7[/tex]

Hence

The solution is x=-6 and y=7


Related Questions

help solve this for me i need it ASAP. please send pic in detailed info.

Answers

Answer:

yes

Step-by-step explanation:

y = 5x - 30

if this is wrong just lmk and ill fix it

hope this helps <3

A meerkat was digging a new path to get to his home 8 ft below the surface. He hit a stump and dug 15 ft lower so the roots would not be in his path. What elevation is the meerkat?

Answers

Answer:

The elevation is [tex]32.3^{o}[/tex].

Step-by-step explanation:

The home of the meerkat is 8 feet below the surface. So that the root of the stump would not be in his path, he dug 15 feet lower.

This can be represented by the sides of a right angled triangle. Applying the appropriate trigonometric function, let the elevation be represented by θ.

Then,

Sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

        = [tex]\frac{8}{15}[/tex]

Sin θ = 0.5333

⇒ θ = [tex]Sin^{-1}[/tex] 0.5333

      = 32.287

θ = [tex]32.3^{o}[/tex]

The elevation of the meerkat is [tex]32.3^{o}[/tex].

Please help me I can't figure this out.

Answers

i don’t know the area but if you find the area of the rectangle then the triangle and add them together you should be able to find it. have a great day and good luck with school

Answer:

c. 38 cm²

Step-by-step explanation:

Triangle: 6

+

Rectangle: 32

=

38 cm²

Jamaal writes 1/8 page in 1/4 of a minute. How much time will it take Jamaal to write a full page?

Answers

Answer: 2 minutes

Step-by-step explanation:

1/8 multiplied by 4 twice

PLEASE PLEASE HELP!!!

Answers

Answer:

It's 0.75

Step-by-step explanation:

But if in fraction -3/-4

I need help will mark Brainlyest

Answers

Answer:

maybe its 32 or maybe its just HeLl in real life :)

Step-by-step explanation:

Josie has $30 to spend at a festival .It cost $5 to enter the festival and the game she wants to play cost $1.40 .Write the inequality and use it to determine the number of games that Josie can play

Answers

Answer:

At the maximum Josie can be 17 games.

Step-by-step explanation:

Given that:

Total money available with Josie to be spent at a festival = $30

Entry ticket for the festival = $5

Ticket for each game = $1.40

To find:

The inequality to represent the situation and the number of games that Josie can play.

Solution:

Ticket for 1 game = $1.40

Let [tex]n[/tex] number of games can be played.

So, Ticket for [tex]n[/tex] games = $1.40[tex]n[/tex]

Total money spent = $1.40[tex]n[/tex] + $5

It is should be lesser than or equal to $30.

[tex]1.40n + 5 \leq 30\\\Rightarrow 1.40n \leq 25\\\Rightarrow n \leq 17.8[/tex]

Therefore, at the maximum Josie can be 17 games.

Write the simplest polynomial function for each set of zeros

Zeros = 8,-10, 1,


PLEASEEEEE HELPPPPPPPPPP

Answers

9514 1404 393

Answer:

  p(x) = x^3 +x^2 -82x +80

Step-by-step explanation:

If a polynomial function has a zero at x=a, then (x -a) is a factor. Your list of zeros means the factors are ...

  p(x) = (x -8)(x +10)(x -1) . . . . . . . . factored form

When this is multiplied out, it becomes ...

  p(x) = x^3 +x^2 -82x +80 . . . . . . standard form

_____

The factored form can be multiplied out using the distributive property.

  = ((x(x +10) -8(x +10))(x -1)

  = (x^2 +10x -8x -80)(x -1)

  = (x^2 +2x -80)x -(x^2 +2x -80)

  = x^3 +2x^2 -80x -x^2 -2x +80

  = x^3 +x^2 -82x +80

Geometry work please help!

Answers

Answer:

The value of x is 20A

Step-by-step explanation:

When a line intersects two parallel lines, then some pairs of angles are formed

Alternate interior angles which equal in measuresAlternate exterior angles which equal in measuresCorresponding angles which equal in measuresAdjacent interior angles which are supplementary (the sum of their measures is 180°)

In the given figure

∵ Lines l and m are parallel

∵ They are intersected by a line

∴ The angles of measures (3x + 5)° and 65° are alternate interior angles

→ That means they are equal in measures

∵ Alternate interior angles are equal in measures

(3x + 5)° = 65°

→ Subtract 5 from both sides

∵ 3x + 5 - 5 = 65 - 5

∴ 3x = 60

→ Divide both sides by 3

x = 20

The value of x is 20

Plz give me the answers I really need your help. :)

Answers

The answers are

25 envelopes per minute
82 words per minute
27 miles per gallon

Answer:

1. 25 envelopes

2. 82 words per minute

3. 27 Miles per gallon

Step-by-step explanation:

Please help me out!!!!!

Answers

Answer:

Take f(x) to be 4x^3-5x^2-4x-4Take g(x) to be 5x^2+xThen proceed to do f(x)/g(x)Perform synthetic or long division (which ever is your preferred method) Your remainder will be whatever is left over at the end of the division and the quotient will be the first variables.

This one was pretty hard can you guys help out with this

Answers

Answer:

i say the second one.

Step-by-step explanation:

-7x-13>=8
+13 +13
-7x>=21
/-7
x<=-3 (2nd number line)

You always isolate the variable so I added 13 to both sides. Then divide by -7, whenever dividing with a negative number, flip the symbol. Then you have x<=-3

Need help please thanks

Answers

Answer:

Use an app called Cymath it tells you the answer and it shows you step by step on how to work it out. I used the app multiple times and it helps me a lot!

Step-by-step explanation:

Hope I helped! :)

A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 6 gallons every 3 days. At this rate, how many days did it take for all 60 gallons of water to leak out of the barrel?

Answers

60/6=10
10*3=30
30 days. Hope this helps :)

pls help this is for math ill give a brainly​

Answers

Answer: The last one - 5 1/3 divided by 1/6

Step-by-step explanation:

since you are trying to figure out how much she runs a day, u divide

Hope this helps :)

How to find the discount

Answers

“The basic way to calculate a discount is to multiply the original price by the decimal form of the percentage. To calculate the sale price of an item, subtract the discount from the original price. You can do this using a calculator, or you can round the price and estimate the discount in your head.”

-3/10 divided by -4/5

Answers

-0.015

hope it helps

have a great day

Can somebody help me?

Answers

The answer is B becuase if u take the reciplericle by the antiretroviral you would get B

Equivalen
Select two ratios that are equivalent to 27:9.

Answers

Answer:

3:1      &     54:18

Step-by-step explanation:

Answer: 9:3 and 3:1

Step-by-step explanation:

Glad I could help!

Using the English alphabet. which consists of 21 consonants and 5 vowels, how many three-letter arrangements can be made in which the first letter is a consonant, the second letter is a vowel and the third letter is a consonant

Answers

Answer:

They are plenty

Step-by-step explanation:

Answer:

2205

Step-by-step explanation:

Letter 1 is a consent, so there are 21 choices for the letter (all 21 consonants).

Letter 2 is a vowel, so there are 5 choices (all 5 vowels).

Letter 3 is a consent so there are 21 choices (all 21 consonants).

One would have to do 21 * 5 * 21 to find the number of combinations which fit these criterias.

21 * 5 * 21

= 2205

This is disregarding all the other rules of English grammer and word strucutre, so the total amount of combinations that can be found would include nosensical words. The total number of words would also include repeating consonants, so a consonant can appear twice in a combination, and some combinations might repeat.

Please help I am bad at math so please help me I am being timed for a test.!

A pair of boots cost $10 more than twice the cost of a pair of shoes. The boots cost $76.50. How much do the shoes cost?
a.
$48.25
c.
$33.25
b.
$43.25
d.
$28.25


Please select the best answer from the choices provided

sorry that the letters are mixed up on the answer choices im in a hurry, i have somewhere to go soon..

Answers

Answer:

C. 33.25

Step-by-step explanation:

10+2x=76

2x=76-10=66

x=33

Answer:

a

Step-by-step explanation:

I'm not sure I bad at math too

plzz help

find value of following : 2sin75°.cos15°​

Answers

Answer:

[tex]\frac{2+\sqrt{3} }{2}[/tex]

Step-by-step explanation:

Using the product to sum formula

sinxcosy = [tex]\frac{1}{2}[/tex] [ sin(x + y) + sin(x - y) ] , then

2sinxcosy = sin(x + y) + sin(x - y)

Given

2sin75°cos15° ← with x = 75 and y = 15 , then

= sin(75 + 15) + sin(75 - 15)

= sin90° + sin60°

= 1 + [tex]\frac{\sqrt{3} }{2}[/tex]

= [tex]\frac{2+\sqrt{3} }{2}[/tex]

Hi I really need help with answering this! I will give you brainest! And is it okay if you explain why and how you got this answer, thanks so much!

Answers

Answer:

18 students took the bus to school.

Step-by-step explanation:

If 1/4 of the students walked, that leaves 3/4 of the students who did not walk. That leaves 22.5 students. Out of these students 22.5, 4/5 of them take the bus, and 4/5 of 22.5 is 18.

Evaluate the expression 15g if g = 1/5.

Answers

Answer:

3

Step-by-step explanation:

15g

g=1/5

15×1/5

15/1×1/5=3

Answer:

3

Step-by-step explanation:

This is the answer because:

1) We have to substitute the value into the equation:

15(1/5)

2) Next, we have to mutiply 15 and 1/5 together since the g is just a variable that is supposed to be mutiplied with 15:

15(1/5) = 15/5 = 15 ÷ 5 = 3

Therefore, the answer is 3.

Hope this helps! :D

Plz help asappppp I’ll give brainliest

Answers

Answer: c I think

Step-by-step explanation:

I need help pronto!!!

Answers

Answer:

wELL.. Im no expert BUTTTTTTTTT....that would mean that there is no cherry pies (i think)

Step-by-step explanation:

Answer:

Buddy should have given Trudy c +3 apple pies and c cherry pies

Step-by-step explanation:

Trudy orders 3 more apple pies than c cherry pies

which means that Trudy orders:

c cherry pies

and c+3 apple pies

But Buddy gives him c cherry and c-3 apple

simply fully 2x^2-5x+3 / x^2+5x-6​

Answers

Answer:

did this help

Step-by-step explanation:

6 G
[tex]21x4[/tex]
what is it? brainiest to to who gets it​

Answers

Answer:

21 x 4 is 84

Step-by-step explanation:

6G (sixth-generation wireless) is the successor to 5G cellular technology -- 6G networks will be able to use higher frequencies than 5G networks and provide substantially higher capacity and much lower latency.

The roots of the function f(x)=x^2-2x-3 are shown. What is the missing number

Answers

Step-by-step explanation:

[tex]f(x)=x^2-2x-3\\f(x)=(x-3)(x+1)\\x=3,-1[/tex]

Jerry has a part-time job at a supermarket. The ordered pairs show the number of hours he worked for (input values) and the number of dollars (output values) he earned over a five week period. (6,72) (8,96) (5.5, 66) (9,108) (7,84) Are the ordered pairs a relation?

Answers

Answer:

Yes

Step-by-step explanation:

The ordered pairs are (6,72) (8,96) (5.5, 66) (9,108) (7,84).

The number of hours worked is [tex]x[/tex] and the money earned is  [tex]y[/tex].

Let us divide the values of [tex]y[/tex] by [tex]x[/tex]

[tex]\dfrac{72}{6}=12[/tex]

[tex]\dfrac{96}{8}=12[/tex]

[tex]\dfrac{66}{5.5}=12[/tex]

[tex]\dfrac{108}{9}=12[/tex]

[tex]\dfrac{84}{7}=12[/tex]

The fuction which defines the above ordered pairs is [tex]y=12x[/tex]

It can be seen that the amount of money earned is 12 times the number of hours worked.

So, per hour Jerry earns 12 dollars.

Hence, the ordered pairs are relation.

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