Solve the simultaneous equations
4x+3y=11
2x-y=-2

Answers

Answer 1

Answer:

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

[tex]y = 3[/tex]

Step-by-step explanation:

Multiply the bottom equation by -2.

[tex] - 2( - 2x - y = - 2) = - 4x + 2y = 4[/tex]

Add the new equation to top equation.

[tex]5y = 15[/tex]

[tex]y = 3[/tex]

Know plug 3 in one of the equations to find x.

[tex]4x + 3(3) = 11[/tex]

[tex]4x = 2[/tex]

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

Answer 2

Answer:

( [tex]\frac{1}{2}[/tex], 3 )

Step-by-step explanation:

Given the 2 equations

4x + 3y = 11 → (1)

2x - y = - 2 → (2)

Multiplying (2) by 3 and adding to (1) will eliminate the y- term

6x - 3y = - 6 → (3)

Add (1) and (3) term by term to eliminate y

10x + 0 = 5

10x = 5 ( divide both sides by 10 )

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

Substitute x = [tex]\frac{1}{2}[/tex] into either of the 2 equations and solve for y

Substituting into (1)

4 ([tex]\frac{1}{2}[/tex] ) + 3y = 11

2 + 3y = 11 ( subtract 2 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

solution is ( [tex]\frac{1}{2}[/tex], 3 )


Related Questions

Find the slope of the line that passes through the pair of points (1, 7) , (10, 1)

Answers

Answer: -2/3

Step-by-step explanation:


Select the action you would use to solve x - 3 - 12. Then select the property
that justifies that action.
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Subtract 3 from both sides.
D. Property: Addition property of equality
E. Property: Multiplication property of equality
F. Property: Subtraction property of equality

Answers

The correct answer is letter F and E

Determine another point on the line given two points on the line. (-2, 9), (2, -1)

Answers

Answer:

(4,-6)  

Step-by-step explanation:

1) First, let's find the slope of the line between the two points. Use the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex], substitute the x and y values of (-2,9) and (2,-1) into it, then solve:

[tex]m = \frac{(-1)-(9)}{(2)-(-2)}\\m = \frac{-1-9}{2+2} \\m =\frac{-10}{4} \\m = -\frac{5}{2}[/tex]

So, the slope of the line is [tex]-\frac{5}{2}[/tex].

2) Now, using that slope, let's find another point on the line. You can do this by drawing the two points on a graph (picture below). Now, remember that the slope is [tex]\frac{rise}{run}[/tex]. So, starting from any of the two points (I chose (2,-1), as seen below) count 5 units down, then 2 units to the right. This gives an answer, (4,-6).

What is the measure of n?
m
n
8.
4
n
=
V[?]

Answers

Answer:

I think the answer is n=32 because 8×4 is 32

show how you solved the problem

Answers

Where is the problem??? I can’t see it.
Where is the problem?

HURRRY PLEASE
Which method can be used to find the interquartile range for a set of data?

Find the difference between the maximum and minimum values.

Find the difference between the upper and lower quartiles.

Find the median of the upper half of an ordered data set.

Find the sum of the maximum and minimum values.

Answers

The method to find the interquartile range is (b) Find the difference between the upper and lower quartiles.

What is interquartile range?

The interquartile range of a set of data is the difference between the upper quartile and the lower quartile of the dataset

How to determine the interquartile range?

Using the above definition, we can calculate the interquartile range by:

IQR = Q3 - Q1

Hence, the method to find the interquartile range is (b) Find the difference between the upper and lower quartiles.

Read more about interquartile range at:

https://brainly.com/question/1509868

Answer:

B. Find the difference between the upper and lower quartiles.

Step-by-step explanation:

Verified answer ✔️

I NEED ASAP! IF ANY TROLLS OR LINKS ARE COMMENTED I WILL REPORT THEM. GIVING BRAINLIEST TO THE FIRST WHO ANSWERS CORRECTLY PLEASE HURRY!
04.04) Point R is at (2, 1.2) and Point T is at (2, 2.5) on a coordinate grid. The distance between the two points is such as 8.2.) (Input numbers and decimal point only, ​

Answers

The distance between the two points is 1.3.

Question 9 of 10 What is the median of the data set represented by the box plot shown below? A. 67 B. 50 O C. 56 D. 45


/please help\

Answers

Answer:

B)  50

Step-by-step explanation:

min = 38

quartile 1 = 45

median = 50

quartile 3 = 67

maximum = 75

Help ASAP! BRAINLIEST!

Answers

Answer:

C

Step-by-step explanation:

Miami rainfall:  1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02

Tampa rainfall: 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9

25.02 - 18.9 = 6.12

Miami gets more rainfall by 6.12 more inches

Have a great day! :)

Help!!!!!!!!!!!!!!!!!!!!!

Answers

A because the circle is empty and the line is going backwards

The answer is c.

This is cause < without the line means that the b is greater than, so the circle is not going to be filled in. -1, 0, 0.5, and 1 are all greater than -1.5 which means that b could be any of those numbers. So yea. I hope this helps!

arrange the following whole numbers in increasing and decreasing order​

Answers

Answer:

Increasing Order:

34, 71, 269, 976, 16759, 49753, 796542

Decreasing Order:

796542, 49753, 16759, 976, 269, 71, 34

Answer choices
25%
35%
50%
No links no links I will report

Answers

Answer:

50%

Step-by-step explanation:

As you know 8 & 8

= 16

and there's 16 dots in all.

So 8% Of 16%

Would lead to 50%

P.S: Sorry if I'm wrong I tried my best. Best wishes!!! And here's some sparkles ✨ (◍•ᴗ•◍)✧*。!!!

In a random survey of 50 seventh grade students at O'Donnell Middle School, 32 said chocolate was their favorite flavor of ice cream. The school has 750 students in seventh grade. How many of them are likely to select chocolate as their favorite flavor?

Answers

Answer:

480 people are likely to select chocolate as their favorite flavor.

Step-by-step explanation:

32 out of 50 = 32/50 = 16/25

750 * 16/25 = 480

PLEASE HELP!!!!!!! GIVING BRAINLIEST!!!!!!!

Answers

Answer:

side CB

Step-by-step explanation:

draw triangles ABC and ACD next to each other

The longer leg of the triangle ABC is CB, which corresponds with the longest leg of ACD, which is side CD

Answer:

corresponded side

CD=CD

AC=AB

AD=AC

perform the following Elementary row operation on the augmented Matrix​

Answers

9514 1404 393

Answer:

  [tex]\left[\begin{array}{cc|c}-6&3&-4\\0&-3&11\end{array}\right][/tex]

Step-by-step explanation:

The designated sum can replace either row. Consult your curriculum materials for the intent.

Here, we'll replace row 2 with the sum.

  3(2, -2, 5) +(-6, 3, -4) = (3(2)-6, 3(-2)+3, 3(5)-4) = (0, -3, 11)

After the row operation replaces the second row, the augmented matrix is ...

  [tex]\left[\begin{array}{cc|c}-6&3&-4\\0&-3&11\end{array}\right][/tex]

Answer:

3(2, -2, 5) +(-6, 3, -4) = (3(2)-6, 3(-2)+3, 3(5)-4) = (0, -3, 11)

After the row operation replaces the second row, the augmented matrix is ...

  \begin{gathered}\left[\begin{array}{cc|c}-6&3&-4\\0&-3&11\end{array}\right]\end{gathered}[−603−3−411]

MAX POINTS PLZ HELP
find the area of each figure. if necessary, leave your answer in simplest form.

Answers

Answer:

256 ft^2

Step-by-step explanation:

area of rhombus = half of the product of the diagonals

diagonal 1 = 2 * 12.8 ft = 25.6 ft

diagonal 2 = 2 * 10 ft = 20 ft

area = d1 * d2/2 = 12.8 ft * 20 ft/2 = 256 ft^2

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

A

Step-by-step explanation:

it's done by pythagoreans theorem

√25-9=4

A good luck............

Which shows P = 2a + 2b + c solved for c?

Answers

Answer:

c=p-2a-2b

Step-by-step explanation:

P=2a+2b+c

-c=-p+2a+2b  divide both sides by -1

c=p-2a-2b

|x − 5| − |2 − x| + |x + 1| , if x ≥ 5

Answers

Answer:

if the X is equal and large than 5 The X would be 5 or the any numbers large than it :)

ANWER FAST PLS WILL GIVE BRANLIEST

Answers

Step-by-step explanation:

the sum of angle jnm and knp should be 90°

so (7x+2)+(10x+3)=17x+5=90

x=5

so angle knp is 53°

lnk is 90-53=37°

jnm is 37°

jnl js 180-37=143°

jnl is 37+90=127°

please help I'm tired asking 11 times

Answers

Answer:

We aren't going to do all your homework for you. That's why no one is answering. If you have one specific question, I can help. No one is going to do this whole assignment/homework.

Please HELP ME !!! PLEASE HELP ME !!!

Answers

Answer:

B. [tex]x^{M+N}[/tex]

Step-by-step explanation:

A television screen is 7 inches tall and 10 inches wide. What is its area?

Answers

Answer:

70 inches^2

Step-by-step explanation:

7x10=70

The school is trying to paint one side of the curved dividers as show below for the computer lab. The
can of paint is able to cover an area of 25ft?. Will this be enough paint? Select the best answer.

Answers

Answer:

Yes, because the area of one side of the divider is approximately 24ft^2

Answer:

yes 24 squared

Step-by-step explanation:

Math Nation

Is the following number rational, irrational, or nonreal.​

Answers

Answer:

nonreal of course......

Consider the game where two dice, die A and die B, are rolled. We say that die A wins, and write A > B, if the outcome of rolling A is larger than that of rolling B. If both rolls result in the same number it is a tie.

a. find the porbability of a tie
b. find the probabilty that die A wins

Answers

Answer:

a) The probability of a tie is the probability of getting the same outcome in both dice.

First, we roll die A and we get a given outcome. (here the probability is 1 because there is no restriction)

Now we need to roll die B and get the same outcome, so here we have only one possible outcome out of 6, then in this case the probability is 1/6

The joint probability (the product of the individual probabilities) is: P =  1*(1/6) = 1/6

b) We want to find the probability that die A wins.

Here we need to analyze each possible outcome for die A.

Let's define:

pₙ = probability of winning given that the outcome is n.

If the outcome is a 1, die A can only lose or tie, then here:

p₁ = 0

If the outcome is a 2, then die A only wins if die B rolls a 1, (1 outcome out of 6)

Then the probability of winning is:

p₂ = 1/6

If the outcome is a 3, then die A wins if die B rolls a 1 or a 2, here we have two possible outcomes out of 6.

p₃ = 2/6

We already can see the pattern, if the outcome is a 4, we get:

p₄ = 3/6

if the outcome is a 5:

p₅ = 4/6

if the outcome is a 6:

p₆ = 5/6

The total probability is the sum of all the joint probabilities:

For each roll in dice A, the probability is 1/6 (the probability of getting a given outcome)

Then the probability that die A wins is:

P = (1/6)*p₁ + (1/6)*p₂ + ... = (1/6)*(p₁ + p₂ + p₃ + p₄ + p₅ + p₆)

P = (1/6)*(0 + 1/6 + 2/6 + 3/6 + 4/6 + 5/6)

P = (1/6)*(15/6) = 0.4167

please help me solve this equation​

Answers

Answer is (b)
Hope it helps

A wasp is a flying insect. In wasps, wing length is coded for by a single gene. Two scientists studying wasps hypothesize that short wings are recessive to long wings. Which of the following observations best supports this hypothesis?


Wasps with long wings are less likely to survive.


Wasps with long wings can produce offspring with short wings.


Wasps have wing lengths ranging from very long to very short.


Wasps with short wings prefer to mate with wasps with long wings.

Answers

Answer:Wasps with long wings are less likely to survive.

Step-by-step explanation:Because offsprings can happen is diffrent ways say a bird had a offsring that made it have one leg it wouldent sureive to the standers of a bird with 2 legs same goes for other animals sorry if there is some spelling misakes hope this helped:)

Which expression is equivalent???

Please help!!

Answers

Answer:

answer is d.-3/2x +5

Step-by-step explanation:

this was tough but I did it. First you multiply all the terms with 1/4. Then just simplify the terms by breaking them down and then apply normal addition and subtraction. Simple. Thank you

can you help me please

Answers

Answer:

D

Step-by-step explanation:

11 1/4 divided by 3= 3.75 (3 3/4)

Answer:

d) [tex]3\frac{3}{4}[/tex] pounds

Step-by-step explanation:

Hi there!

What we know:

- Sarah has [tex]11 \frac{1}{4}[/tex] pounds of dog food

- Sarah is dividing this into 3 containers

1) Convert [tex]11 \frac{1}{4}[/tex] into an improper fraction

[tex]11 \frac{1}{4}[/tex]

Multiply the whole number by the denominator

11 × 4 = 44

Add 44 to the numerator

44 + 1 = 45

[tex]\frac{45}{4}[/tex]

2) Divide [tex]\frac{45}{4}[/tex] by 3

[tex]\frac{45}{4} / 3[/tex]

Dividing by a number is the same as multiplying its reciprocal

[tex]= \frac{45}{4} *\frac{1}{3}[/tex]

Multiply the numerators and the denominators

[tex]45*1 = 45\\4*3 = 12[/tex]

[tex]= \frac{45}{12}[/tex]

3) Convert [tex]\frac{45}{12}[/tex] into a mixed number fraction

[tex]\frac{45}{12}[/tex] ⇒ [tex]3\frac{3}{4}[/tex]

Therefore, there will be [tex]3\frac{3}{4}[/tex] pounds of food in each container.

I hope this helps!

Other Questions
In our modern political system, which issue represents a basic arrangement between Republicans and Democrats?A.The structure of the US governmentB.The naturalization processC.The two-party political systemD.The role and responsibilities of government please help due in about 1 hour HELPP PLEASEEE MY GRADE DEPENDS ON ITTT!!!!!!!!!Find the value x. 23652.9/36Maths decimals If you took the amount of oil consumed in 2 months in 2013 worldwide, you could make a cube of oil that measures 103 meters on each side. How many cubic meters of oil is this? Do you think this would be enough to fill a pond, a lake, or an ocean? whoever answer this rt get a brainliest Help with these 2 questions please I need to know what is the answer for number 6 and 7 and thats all A car dealership decreased the price of a certain car by 14%. The original price was $47,400.(a) Fill in the blank to write the new price in terms of the original price.Write your answer as a decimal.New price = Original price(b) Use your answer in part (a) to determine the new price.New price: $] A car starts from rest with an acceleration of 5.0 m / s and travels a distance of 1.0 km. What is the speed value of this car? Please help ASAP ! WILL MARK BRAINLIEST (extra points )Word bank:Ligament,cartilage,cerebrum,neurons,Appendicular skeleton, repetitive motion injury, osteoporosis, scoliosis,epilepsy,muscle tone help me pls thxxxxxxxxxx which is the most popular app for free online live classes person responsible for the first major U.S. oil strike, which occurred in the late 1850s Quick maths question please help What is the square root pf 49284? The workers in factories during the American industrial were exploited in all of the following ways EXCEPT.A) Wage laborB) Poor air qualityC) Not enough working hours providedD) Child labor Find the volume of the cylinder in terms of x and to the nearest tenth ILL GIVE BRAINLIEST!!!! Question 20 (3 points) (05.06 MC) What does it mean to say that the "dollar is strong?" (3 points) A.) Its value has increased compared to other countries' currencies. B.) Its value has decreased compared to other countries' currencies. C.) Its value has increased compared to the total value of imports. D.) Its value has decreased compared to the total value of imports. The ratio of 1 hour to 300 seconds is:(i) 1:12;(i) 12:1; (iii) 1 : 5;(iv) 5:1