Mathematics College

solve the simultaneous equations 4x-3y=19 and 2x+3y=23​

Answers

Answer 1
The answer is x=7 and y=3
Solve The Simultaneous Equations 4x-3y=19 And 2x+3y=23
Answer 2

Step-by-step explanation:

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

[tex] \sf{4x - 3y = 19}[/tex] ••••• equation ( i )

[tex] \sf{2x + 3y = 23}[/tex] ••••• equation ( ii )

The coefficients of y are the same in both equation but the sign of 3y of equation ( i ) differs from the equation ( ii ). So , we add one equation from the other to eliminate 3y.

Adding equation ( i ) and ( ii ) , we get :

[tex] \sf{4x \: \cancel{ - 3y}} = 19[/tex]

[tex] \sf{2x \: \cancel{ \: + 3y}} = 23[/tex]

_________________

[tex] \sf{6x \: \: \: \: \: = \: \: \: 42 }[/tex]

Solve for x :

⟿ [tex] \sf{ \frac{6x}{6} = \frac{42}{6}} [/tex]

⟿ [tex] \boxed{ \sf{x = 7}}[/tex]

Now , substituting the value of x in equation ( ii ) , we get ( Remember : you can substitute the value of x in any of the equation ) :

[tex] \sf{2x + 3y = 23}[/tex]

⟿ [tex] \sf{2 \times 7 + 3y = 23}[/tex]

⟿ [tex] \sf{14 + 3y = 23}[/tex]

⟿ [tex] \sf{3y = 23 - 14}[/tex]

⟿ [tex] \sf{3y = 9}[/tex]

⟿ [tex] \sf{ \frac{3y}{3 } = \frac{9}{3}} [/tex]

⟿ [tex] \boxed{ \sf{y = 3}}[/tex]

[tex] \red{ \boxed{\boxed{ \tt{☥ \: Our \:final \: answer :x = 7 \: and \: y = 3}}}}[/tex]

⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆⋆

✑[tex] \underline{ \underline{ \sf{learn \: more }}}: [/tex]

https://brainly.com/question/20487855?exp=27-1

Hope I helped ! ツ

Have a wonderful day / night ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Related Questions

35 percent as a decimal

Answers

The answer: 35% = .35

What is the measure of x

Answers

Answer:

x = 75°

Step-by-step explanation:

From the figure it appears that:

[tex] m\angle B = 36\degree [/tex]

and

[tex] m\angle D = 39\degree [/tex]

x is the measure of the exterior angle of [tex] \triangle BDH[/tex]

Therefore, by exterior angle theorem:

[tex] x = m\angle B+ m\angle D [/tex]

[tex] x = 36\degree+ 39\degree [/tex]

[tex] x =75\degree [/tex]

The large rectangle below represents one whole.
What percent is represented by the shaded area?
%

Answers

The shaded area represents a 40% percent of the area

Write an equivalent expression
8x - 6x + 10y + 6 + 4y + 9 = ?x + ?y + ?​

Answers

Answer: 2x + 14y + 15

Step-by-step explanation:

8x - 6x + 10y + 6 + 4y + 9

Bring like terms together

8x - 6x  + 10y + 4y + 6 + 9

Combine like terms

2x + 14y + 15

Hope this helped!

Write the negation of the proposition.

Some people don't like walking.

Answers

Answer: All people do like walking

It might be more grammatically correct to say "all people like walking", but I wanted to include the "do" in there because we can see how the "don't" flips to "do". The "some" flips to "all" as well.

The negation of a statement is the complete opposite in every way. If a friend makes a claim that some people don't like walking, and you can prove that all people do like walking, then this contradicts your friend. The same can be said in reverse: if your friend claims "all people do like walking", then you can counter back with "some people don't like walking". All it takes is one counter-example to prove the claim "some people don't like walking" to be correct. In terms of logic, the word "some" means "one or more".

simplify the expression-14-(-8)​

Answers

Answer:

the answer is -6

Step-by-step explanation:

-14-(-8)=-6.

Answer:

[tex] - 14 - ( - 8) \\ \\ - 14 +8 \\ \\ = - 6[/tex]

Point P is the centroid of LMN. Find PN

Answers

Answer:

PN = 14

QP = 7

Step-by-step explanation:

Extend PQ to R so that QR=PQ

MQ = QL  (known, mid-point)

MPLR is parallelogram (diagonal bisect each other)

MP // RL          NP/PR = NE/EL = 1/1 (E mid-point, known)

NP = PR

PQ = QR = 1/2 PR = 1/2 NP

NP = 2 PQ

NP + PQ = 2PQ + PQ = 3 PQ = QN = 21

PQ = 7

PN = 14

Philip George and matt are water polo players. The diagram below represents the players positions during a game

What is the measure of the angle at George’s position

A. 6°
B. 37°
C. 60°
D. 83°

Answers

Answer:

It 6

Step-by-step explanation:

Answer:

83 degrees

Step-by-step explanation:

10x+23+8x+12+55-3x=180

15x=90

x=6

10(x)+23 is George's position angle

10(6)+23 =83 degrees

Evaluate the following: (½)(10) −(−12) −25

Answers

Answer:

-8

Step-by-step explanation:

1/2 times 10 is 5. and a negative times a negative is a positive, so you have a positive 12, which becomes 5+12-25, which is -8

Jordyn's rectangular garden is represented in the diagram below. If a diagonal walkway crosses their garden, what is its length, in feet?
Walkway
8 feet
15 feet

Answers

Answer: 23

Step-by-step explanation:

Solve 18 (5/6)

a.13/14
b.15
c.18 5/6
d.23/6

Answers

Answer:

15 or 3 so B

Step-by-step explanation:

So 5/6 of 18 is 90/6. If you like, you can divide that to simplify and you get 15. Another way to do it is to divide 18 by 6 which gets you 3.

Answer: B. 15

Step by step explanation:

18(5/6) -Reduce the numbers with the GCF (greatest common factor)

3*5 - Multiply the numbers

15 is your answer

Kaylie needs to find the slope of the line that passes through the points (9, 12) and (7,4). She sets up the
following work:
12-4
7-9
Has she set up her work correctly? Why or why not?

Answers

Answer:

She used an incorrect formula . The formula should be the changed in y-values with respect to the change in x-values , so the answer is C

Step-by-step explanation:

please give brainliest i tried!

Please solve the question below

Answers

Answer:

AB = 14 units

∠F = 39°

Step-by-step explanation:

Given:

ΔABC ≅ ΔDEF

So,

AB = ED (By CPCT)

So,

AB = 14 units

∠C = ∠F (By CPCT)

∠F = 39°

There are 1250 students at Cypress Middle School. 42% of the students are enrolled in PE. How many students are enrolled in PE?

Answers

Answer:

The answer is 525 students.

Step-by-step explanation:

1250 total students

42% = PE

42% of 1250 = [tex]525[/tex]

Thus, the answer is 525.

Answer: 525 students are enrolled in PE.

Step-by-step explanation:

2x2+3x-14=0 Does anyone know the answer?

Answers

Answer: 10/3 or 3.3
hope this helps:)

Answer:

Answers l thenk (1.16)

Mmmmm

Use this table to match the molecules with their estimated masses.

Atom Mass (in grams)
hydrogen 1.67 × 10-24
oxygen 2.66 × 10-23
carbon 1.99 × 10-23
nitrogen 2.32 × 10-23

Answers

Answer:

7.31 x 10^-23

Answer: CO2 (1 atom of carbon and 2 atoms of oxygen)

3.34 x 10^-24

Answer: H2 (2 atoms of hydrogen)

2.821 x 10^-23

Answer: NH3 (1 atom of nitrogen and 3 atoms of hydrogen)

7.64 x 10^-23

Answer: NO2 (1 atom of nitrogen and 2 atoms of oxygen)

Step-by-step explanation:

hope this helps :)

The matching is as follows;

7.31 x 10^-23 = CO2  i.e. 1 atom of carbon and 2 atoms of oxygen

3.34 x 10^-24 =  H2 (2 atoms of hydrogen)

2.821 x 10^-23 = NH3 (1 atom of nitrogen and 3 atoms of hydrogen)

7.64 x 10^-23 = NO2 (1 atom of nitrogen and 2 atoms of oxygen)

Learn more: https://brainly.com/question/4804019?referrer=searchResults

HELP ME! Deandre estimated the weight of his mountain bike to be 13 kg. The actual weight of his mountain bike was 12.7 kg.
Find the absolute error and the percent error of Deandre's estimate. If necessary, round your answers to the nearest tenth.

Answers

Answer:

Absolute error = 13-12.7=0.3

13 =100%

12.7=x

x=(12.7)(100)/13

x=97.7

the percentage error is 97.7%

Which statements are true? Check all that apply.

On a coordinate plane, point A is (2, 3), point B is (3, 2), point C is (negative 2, 2), point D is (negative 3, negative 3), point E is (0, 3), point F is (2, 0), and point G is (0, 0).
A is in Quadrant I.
B is on the x-axis.
C is in Quadrant I.
D is in Quadrant III.
E is on the x-axis.
F is on the x-axis.
G is on the y-axis. Please anwser quick!!!!

Answers

Given:

A(2, 3)B(3, 2)C(-2, 2)D(-3, -3)E(0, 3)F(2, 0)G(0, 0)

Let's first understand the different signs and different quadrants.

Quadrant I: (+, +)Quadrant ll: (-, +)Quadrant III: (-, -)Quadrant IIII: (+, -)

Verifying them with the given points,

A is in Quadrant I. - TRUEB is on the x-axis. - FALSEC is in Quadrant I. - FALSED is in Quadrant III. - TRUEE is on the x-axis. - FALSEF is on the x-axis. - TRUEG is on the y-axis. - FALSE

Hope it helps. :)

Answer:

A D F

Step-by-step explanation:

All credit to him

expend log10 (x³y⁵)​

Answers

Answer:

3log(x) + 5log(y)

Step-by-step explanation:

[tex] log({x}^{3} {y}^{5} ) \\ = log( {x}^{3} ) + log( {y}^{5} ) \\ = 3 log(x) + 5 log(y) [/tex]

What is the coefficient in -x^2?

Answers

Answer:

-x i belive it might just be x tho

Step-by-step explanation:

In ANOP, NP is extended through point P to point Q,
mZOPQ = (6x – 15)°, mZPNO = (2x + 18)°, and
mZNOP = (2x – 13). What is the value of x?

Answers

Answer:

x = 10

Step-by-step explanation:

Form the information given, we can deduce that:

m<OPQ is an exterior angle of ∆NOP = (6x - 15)°

m<PNO = (2x + 18)° and m<NOP = (2x - 13)° are both interior angles that are opposite to the exterior angle.

Therefore, based on the exterior angle theorem:

m<OPQ = m<PNO + m<NOP

(6x - 15)° = (2x + 18)° + (2x - 13)°

Solve for x

6x - 15 = 2x + 18 + 2x - 13

6x - 15 = 4x + 5

6x - 15 - 4x = 4x + 5 - 4x (Subtraction property of equality)

2x - 15 = 5

2x - 15 + 15 = 5 + 15 (addition property of equality)

2x = 20

2x/2 = 20/2 (division property of equality)

x = 10

Choose the equation and the inequality needed to answer this question. Trevor tutors French for $15 and hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least how many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream.

Answers

Answer:

One second let me look it up for u :)

Step-by-step explanation:

Answer:

Total number of hours = 15

Let the hours spent tutoring french be x.

Therefore hours spent on scooping ice cream = (15 - x)

Amount:    Tutoring french is $15 an hour, total for x hours = 15x

For scooping ice cream  it is $10 an hour   10*(15 - x) = 150 - 10x  

To make more than $180

15x  + (150 - 10x)  > 180

15x + 150 - 10x > 180

15x - 10x > 180 - 150

5x > 30

x > 30/5

x > 6

trevor needs to tutor 6 hours to make more than 180

Step-by-step explanation:

I hope this helped :)


hi help me who is genius this question what are acc that should be Cr and Dr and how will the ledger will be done also a little help will be helpfull​​

Answers

Hi was a good night

Use the ALEKS calculator to find 62% of 80. Do not round your answer.

Answers

Answer:

ok Naruto

Step-by-step explanation:

49.6

A store is having a special on candy bars. The special is 4 boxes of candy bars for $11.00. Which statement about the box of candy bars is true?​

Answers

Answer:

answer is c (2.75)

Step-by-step explanation:

To decorate her bedroom, Lisa spent $62.89 on new bedding, $48.26 on paint, and $81.99 on accessories. About how much did she spend to decorate her bedroom? (1 point)

Question 3 options:

1)

$190

2)

$210

3)

$230

4)

$300

Answers

Answer:

3 because it makes a of sense

Step-by-step explanation:

In a hotel, Elevator 1 stops at the third floor at an elevation of 40ft. Elevator 2 stops at the parking level at an elevation of -25ft.

How far apart, in feet, are the two elevators? Show or explain your work.

PLEASEEE ANSWER!!!

Answers

Answer:

65 ft

Step-by-step explanation:

Negative and positive numbers can be expressed as how far away they are from zero.

40 is 40 units away from zero. Elevator 1 is 40 units from 0.

-25 is 25 units away from zero. Elevator 2 is 25 units from 0.

To find the distance, we'll add their distances from 0.

40 + 25 = 65

They are 65 units apart. In your problem you specify feet, so they are 50 ft apart.

What would this be?!?

Answers

Answer:

It's C

3 and 3/4

Step-by-step explanation:

1 dozen=12

2 dozens=24

1 1/2 divided by 24 = 1/16

1/16 times 60

3 and 3/4

helpppp nowww plsss!!

Answers

Answer:

6/10

Step-by-step explanation:

6/10

What is the probability of rolling a multiple of 3 on a 6-sided die?

Answers

Answer:

33% or 1/3 ...............

1/3, 1:3, or simply about 33%

Let me know if you need help with anything else, I’ll be glad to help!
Other Questions
What is the main argument the author makes in this article? Hitlers influence on Germanys youth has improved their physical prowess, intellect, and academic scores. Hitler has had limited success in his attempt to influence the young people of Germany to support the Nazi Party. Hitler has influenced the young men of Germany to abandon their education, but he has had little impact on young German women. Hitler has influenced the youth of Germany to embrace anti-Semitism, militarism, and extreme nationalism at the expense of their education. Which of the following is not a reason to use dialogue in a story? (5 points) aMove the story forward bKeep reader interest cDevelop characters dSlow the action which of the following are mosquito borne diseases? A) Dengue fever and pupa B) Encephalitis and Asian tiger C) Dengue fever and Encephalitis D)West Nile virus and wiggler what happens if none of the selector values match selector in a simple case expression in pl/sql mention one example of a new technology farmers have used in the farming system Which idea is unsupported by the author's main arguments about Benjamin Franklin's accomplishments?paved the way fortheories aboutelectricitynever patentedany of hisinventionsthe only presidentwho was neverelected presidentlargely self-educated What would happen to the water cycle if the sun ceased to exist?O The water cycle would slow down.The water cycle would stop.The water cycle would speed up.O The water cycle would stay the same. what would do if you got bully Find the missing number of each unit rate. 155 = ?1 246 = ?1worth 15 points!!! Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure " $ meter on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway? Find the 62nd term of the following sequence:(-21, 27, - 33, - 39,...) 1 Newton = 1 ___?A) kg*m/sB)kg/mC)m/s^2D)kg*m/s^2 10. Which of the following figures will have it's altitude outside the triangle? How did the Roman Catholic Church impact life in Europe during the Middle Ages? What is produced when an acid and an alkali react?A. Water and a baseB. Water and Carbon dioxideC. Salt and a baseD. Salt and water What is the measure of AC? What is the complementary DNA strand for the DNA sequence TAC CCG ATACCT GTT CTA ATC?* Please answer asap thank you 60 points (3 different questions) INEQUALITIES AND EQUALITY SOLVING-6(1+7x)+7(1+6x)=-2 (I got no solution but I want to make sure that's correct)-2(2-2x)-4(x+5) -24 (I think I got the answer but I have no clue how to do this on a number line)-2(5+6n) HELP PLEASE!!What do you think is the main lesson to be learned from the story of Daniel in the lions' den? Write a paragraph describing your thoughts. Words to use (Synagogues, Scroll, Sabbath, Kosher, Tradition, or Communicate) 11 lines.