Solve the simultaneous equations
4x + 3y = 20
4x + 2y = 14

Answers

Answer 1

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

[tex] \tt{4x + 3y = 20........... \text{ equation \: ( \: i \: )}}[/tex][tex] \tt{4x + 2y = 14.......... \text{equation \: (ii)}}[/tex]

[tex] \underline{ \text{USE \: ELIMINATION \: METHOD}} : [/tex]

Subtract equation ( ii ) from equation ( i ) :

Remember that the sign of each term of the second expression changes i.e equation ( i ) now becomes -4x -3y = -20

[tex] \tt{ \cancel{4x }+ 2y = 14}[/tex]

[tex] \tt{ \cancel{ - 4x} - 3y = - 20} [/tex]

__________________

[tex] \tt{ - y = - 6}[/tex]

⟿ [tex] \tt{ \boxed{ \tt{y = 6}}}[/tex]

Again , Substituting the value of y in equation ( ii ) :

⟿ [tex] \tt{4x + 2 \times 6 = 14}[/tex]

⟿ [tex] \tt{4x + 12 = 14}[/tex]

⟿ [tex] \tt{4x = 2}[/tex]

⟿ [tex] \boxed{ \tt{x = \frac{1}{2}}} [/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : x = \frac{1}{2 } \: and \: y = 6}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Related Questions

Helppp question in the picture‼️

Answers

Answer:

the last one

Step-by-step explanation:

Convergent plate boundaries cause earthquakes which is the most destructive out of the three.

Ain't you ever just like rainbow stuff cuz you think it's pretty or cool and just like it and people think you're gay but actually not?

Answers

Yea it’s pretty and satisfying
Yea..........fr...........

If a cylinder has a radius of 6 ft and a height of 12.2 ft, what is the surface area? Use 3.14 for P.


Select the best answer from the choices provided.
А.
113.04 ft2

B.
459.696 ft2

C.
572.736 ft2

D.
685.776 ft2

Answers

The correct answer would be D

SA = 685.776ft³

HELP ASAP ASAP ASAP PLS PLS PLS LOL

Answers

she was able to find the point on the line that intersected at 5 and 75

Order the following numbers from least to greatest.
Put the lowest number on the left.

71,28,-54,53

Answers

Answer:

-54, 28, 53, 54, 71

Step-by-step explanation:

Hope this helps :)

Gianna's family took a road trip. Gianna slept through the last 44% of the trip. If Gianna fell asleep after they had travelled 280 miles, what was the total length of the trip?

Answers

Answer:

500 miles

Explanation: 100-44 is 56, so 280 is equal to 56% of the trip. 280/56 is equal to 5. Therefore 5 is 1%, so if we multiply the 5 x 100 there we go, that's 100% of the trip. Not how your teacher told you to do it, but its the right answer.

Answer:

rip gigi

Step-by-step explanation:

500 miles

Which of the following is divisible by 2
70581
16853
90000

Answers

90000 is divisible by 2

Answer:

Option 3. 90000 is divisible by 2

Step-by-step explanation:

70581÷2=35,290.5

16853÷2=8,426.5

90000÷2=45,000

This implies that only 90000 is divisible by 2

WILL GIVE BRAINLIEST
In the two-step equation below, what is the first step you would take to solve this equation?

-7+4r=-15

a. Divide both sides by 4.
b. Add 7 to both sides.
c. Multiply both sides by 4.
Selected:d. Subtract 7 from both sides.

Answers

Answer:

b

Step-by-step explanation:

-7 + 4r = -15

+7             +7

4r = -8

divide both sides by 4

r = -2

Hope this Helps!!!

Answer:

b. Add 7 to both sides.

r=-2

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4r−7=−15

Step 2: Add 7 to both sides.

4r−7+7=−15+7

4r=−8

Step 3: Divide both sides by 4.

4r/4=−8/4

r=−2

Help please! Ty! Ratios

Answers

Answer:

Ratios to roses to lilies....6:9

Reduced.....2:3

Step-by-step explanation:

Pretty simple doesn't need explaining

Plug in the point (1,6) into the inequality 4x-3y<12 to determine if the point is in the solution set. How do you know
A Yes, (1,6) is in the solution set because the truth value is TRUE
B No, (1,6) is not the solution because the truth value is FALSE​

Answers

Answer:

false

Step-by-step explanation:

4(1) - 3(6)<12

4 - 18<12

12<12

so no the truth value is false 12 is not less than 12

Answer:

A. true

Step-by-step explanation:

If you plug in x and y, the equation is 4(1)-3(6)<12. SImplify to get 4-18<12 which is equal to -14<12 which is true.

Bridget is 5 years older than Angad. Paul is 4 years younger than Angad. If the total of their
ages is 49, how old is the eldest of them?​

Answers

Answer: Bridge is 21 years old

Step-by-step explanation:

Ok so after reading the question I already know that B (Bridget), A (Angad) and P (Paul) is 49 in the sum of age. I also know that B=A+5 and P=A-4. After that I can assume B=P+5+4. So now after we gather everything, the age of all of them is the same if we delete 5, 4, 4 (From B=P+5+4 and P=A-4). 49-5-4-4=36. So now lets assume they are all 12 (36/3=12). B is 5 years older so lets add 5 to B. B=17, A=12 and P=8. 8+12+17= 37. We now know that but 37 is 12 under 49, so lets add the average 12/3=4 so we add 4 to all of them. B=21 A=16 P=12. 21+16+12=49. So Bridge is 21 years old, Angad is 16 years old and Paul is 12 years old

Given f (x) = 1/5 (6 – x)^2 what is the value of f(16)?​

Answers

f(16)=1/5(6-16)^2
f(16)=1/5(-10)^2
f(16)=1/5(100)
f(16)=20

Answer:

20

Step-by-step explanation:

if f(x)=1/5(6-x)^2 when f(16)you will replace x by 16 then solve it like this

f(16)=1/5(6-16)^2

= 1/5(-10)^2

=1/5(100)

=20

63n^3+54n^2-105n-90
Please help me factor by grouping

Answers

Answer:3(7n+6)(3[tex]n^{2}[/tex]-5)

Step-by-step explanation:

WARM-UP Solutions
Solve the equations to find the number and type of solutions.
The equation 8 - 4x = 0 has
I real solution(s).
DO NE

Answers

Answer:

x = 2

Step-by-step explanation:

Rearrange terms

Subtract from both sides of the equation

Simplify

Divide both sides of the equation by the same term

Simplify

If you have like this again type it into a search engine it will answer

that's

where I got this

W = 7.8 so what is 29.2 - w ?

Answers

Answer: 21.4

Step-by-step explanation: Since W=7.8 all you have to do is 29.2 - 7.8 which would give you 21.4

WILL REWARD ASAP An error was made while solving the inequnlily -4(2x - 3) > 5x - 14. Choose the
step where the error was made
A. 8x + 12 = St - 14
B. -13+ 12 > -14
C. 1326
D.2

Answers

Answer:

a.

Step-by-step explanation:

-4 times 2x is -8x, not 8x.

How many of the ways that 27 cents can be made using quarters, dimes, nickels, and pennies use an odd number of coins

Answers

I believe the answer is 13 ways to make 27 cents using Quarters, dimes, nickels, and pennies.

Step-by-step explanation:

Please help me! I struggle with Ag class. I'll give Brainlest if I know how.

Answers

Answer:

Her answer is incorrect

We have the correct feet number (5) but the incorrect inches number (should be 3 inches and not 1/4 inches)

Step-by-step explanation:

Here, we want to make a conversion from feet to inches and feet

Mathematically, we know that;

1 feet = 12 inches

So, for 63 inches, we can have a clear ;

63/12 = 5 feet + 3 inches

Hence, the correct conversion of 63 feet should be;

5 feet and 3 inches

multiply: (x+a)^2-(x-b)^2+x^2+(a-b)x-ab by (a+b)

Answers

Answer:

Step-by-step explanation:

Step-by-step explanation:the answer is =−a2b2y−ab3y+a2+3ax−b2+bx+x2    how did i get answer:Distribute:

=a2+2ax+x2+−b2+2bx+−x2+x2+(a)(x)+(−b)(x)+−a2b2y+−ab3y

=a2+2ax+x2+−b2+2bx+−x2+x2+ax+−bx+−a2b2y+−ab3y

Combine Like Terms:

=a2+2ax+x2+−b2+2bx+−x2+x2+ax+−bx+−a2b2y+−ab3y

=(−a2b2y)+(−ab3y)+(a2)+(2ax+ax)+(−b2)+(2bx+−bx)+(x2+−x2+x2)

=−a2b2y+−ab3y+a2+3ax+−b2+bx+x2

hopes this help I just when back to my answer on my work and I had got a 100 last year.

A snail travels 1/5 of an inch in an hour
How long will it take to travel 5 inches

Answers

Answer: 25 hours

Step-by-step explanation:

I had it on a test and it said correct‍♀️

If 3 boxes of chocolate costs 12.60 what is the price for 1 box

Answers

Answer:

4.20

Step-by-step explanation:

12.60 divided by 3 is 4.20!

A floor plan is an example of a drawing_ help

Answers

Answer:

There is no drawing or pic. You might want to re-post it. ^^

Step-by-step explanation:

Answer: A floor plan is an example of a scale drawing.

please help help help help please help will give brainliest if correct​

Answers

Answer:

15 divided by 3 = 5

Step-by-step explanation:

21 divided by 3 = 7

6 divided by 3 = 2

Have a Good Day : )

Answer:

5

Step-by-step explanation:

y=x/3

substituting x=15 in the above equation

y=15/3

y=5

Mark me as the brainliest if I helped you, i need it thanksss!!

I WILL GIVE BRAINLIEST!! PLEASE DONT IGNORE!! NEED ANSWER ASAP!!

Answers

Answer:

i gotchu the first one is 3 the second one is 1

Step-by-step explanation:

Write these ratios in their simplest form
a 10p:1£ b) 20mm:4 cm

Answers

Im assuming that 100p is 1 pound? So that ratio should be A) 1:10 and 20mm is 2cm so the ratio is B)1:2

FOR 90 POINTS PLEASE HELP
QUESTION 1
If RS is 2x+15, and VW is 3x+5, and UT is 6x-37. What is RS?
QUESTION 2
Angle J is (7x+2) Angle L is (25x-14)
What is (x)

Answers

Answer:

Question 1: RS=47

Question 2: x=6

Step-by-step explanation:

Question 1:

Step 1: 3x+5=2x+15+6x-37

Step 2: 3x+5=8x-22/2

Step 3: 3x+5=4x-11

Step 4: x=16

Step 5: 2(16)+15=32+15=47

RS= 47

Question 2:

Step 1: 7x+2+25x-14=180

Step 2: 32x-12=180

Step 3: 32x=192  (divide 32 from each side)

x=6

Help ASAP here’s a picture too

Answers

Answer:

B

Step-by-step explanation:

Answer:B

Step-by-step explanation:

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Hakim received some gift cards for music and movie downloads for his birthday. Using one of them, he downloaded 20 songs and 13 movies, which cost a total of $163. Using another, he purchased 13 songs and 13 movies, which cost a total of $156. How much does each download cost?

Downloads cost $____for a song and $______ for a movie.

Answers

Answer:

the download cost for a song is $1 and $11 for a movie

Step-by-step explanation:

According to the questions, the following equations are as follows:

Let us assume the song be x

And, the movies be y

So,

20x + 13y = $163.........(i)

13x + 13y = $156........(ii)

Now solve substract second equation from the first equation

7x = $7

x = $1

And the y value is

20 + 13y = $163

13y = $163 - $20

13y = $143

y = $11

Hence, the download cost for a song is $1 and $11 for a movie

3
Marvin wants to exactly proportion a protective mat for a tabletop that is 5 feet long
and 2 feet wide. In order to completely cover the table without any excess, he needs
to shorten the length of the mat by feet.
What will be the new length of the mat?
А
I feet
4
12
B
4 4 feet
12
с
27 feet
D
11 feet

Answers

Answer:

Step-by-step explanation:

the mat will be b. 4ft

The new length of the mat will be 4 ( 7 / 12). The correct option is A.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the length of the mat is 5 ( 1 / 4 ) and the length cut by 2 / 3  feet. The new length will be calculated as below:-

New length = 5 ( 1 / 4 ) - ( 2 / 3 )

New length = ( 21 / 4 )  - ( 2 / 3 )

New length = ( 63 - 8 ) / 12

New length = ( 55 ) / 12

New length = 4 ( 7 / 12 )

Therefore, the new length of the mat will be 4 ( 7 / 12). The correct option is A.

To know more about an expression follow

https://brainly.com/question/21446512

#SPJ2

To the nearest integer, about how many times larger is 20 x 10 exponent 2 compared with 4 x 10 exponent -1?

Answers

Answer:

100

Step-by-step explanation:

5 x 10^6 = 5,000,000

vs

5 x 10^4 = 50,000

100

Answer:

5 times greater

Step-by-step explanation:

20÷4 =5 so yea

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