Use the linear combination method to solve the system of equations. *Explain each step of your solution.

2x - 3y = 13
x + 2y = 4

Answers

Answer 1

Step 1: We have the next system of equations -

[tex]2x - 3y = 13[/tex]

[tex]x + 2y = 4[/tex]

Step 2: Now, we will multiply by -2 the second equation:-

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

[tex]→ - 2x - 4y = - 8[/tex]

Step 3: Then we add it :-

[tex]2x - 3y = 13[/tex]

[tex]( + ) \: - 2x - 4y = - 8[/tex]

Step 4: After finding the sum, we simplify:-

[tex] - 7y = 5[/tex]

[tex]→y = - \frac{5}{7} [/tex]

Then, substitute the above y value to find x's value in any equation of Step 1. Now, I used to second equation in Step 1:-

[tex]x = - 2( \frac{ - 5}{7}) + 4[/tex]

Step 5: Then simplify :-

[tex]y = \frac{38}{7} [/tex]

Therefore, the final answer is :-

[tex]x = \frac{38}{7} [/tex]

and

[tex]y = \frac{5}{7} [/tex]

---------------------------------------------

Answered by Benjemin360 ☺️


Related Questions

A package of 4 pairs of insulated gloves costs $21.56. What is the unit price of the pairs of gloves?

Answers

Answer:

Your answer is $5.39.

Step-by-step explanation:

There are 4 pairs of gloves. The unit price is only for a single pair of gloves, so divide the total cost by the pairs of gloves to get your answer: 21.56 ÷ 4 = 5.39. (Also, since we are talking about money, there would be a dollar sign next to 5.39: $5.39)

Under her cell phone plan, Rajani pays a flat cost of $65 per month and $5 per gigabyte. She wants to keep her bill under $85 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Rajani can use while staying within her budget. need help with this

Answers

Answer: $85 [tex]\leq[/tex] $65 + ($5)*gg

Step-by-step explanation:

$85 [tex]\leq[/tex] $65 + ($5)*gg

The values are in $/month, but we'll assume 1 month is all we need to answer the question of what it would take to remain below $85/month.  The fixed ciost, $65/month, is added to the gigabyte (gg) usage of $5/gg.  (I'd prefer gb for gigabyte, but I'll stick with gg).

Together, they should be [tex]\leq[/tex] $85/month, thus we get:

$85 [tex]\leq[/tex] $65 + ($5)*gg

Filled up gas tank with 24 gallons. He used .06 gal every mile.

Answers

Answer:

are you asking how many miles he can go bc it would be .6 * 24 = 14.4 miles before he runs out

Hello kind people I will be handing A brain-list
The Chang family is on their way home from a cross-country road trip. Their starting destination is 2,280 miles from their home. The Chang family can expect to decrease the distance from their home by 60 miles per hour.

Part A: Based on the information provided, write the function d(t) that represents the family's distance (in miles), d, from home after t hours of driving.

Part B: If rate at which the Chang family travels home continues at the same rate, determine the value of d(15) and describe what it means in reference to the situation.

Answers

Answer: d is 15 hrs

Step-by-step explanation:

Just substitute 15 in for t in 2280-60t and evaluate to get D(15)

D(15) is how many miles left to drive to get home after 15 hours

I don't know if this is 100% correct but I tried

What is the volume of this triangular prism?

Answers

Answer:

576 cm squared

Step-by-step explanation:

find the measure of angle Y

Answers

9514 1404 393

Answer:

  y = 40°

Step-by-step explanation:

The diagonal BD divides angle D into two equal parts:

  y = 40°

PLSSS HELP WIL REWARD BRAINLIEST!!

Answers

You may begin by calculating the slope's angle, then marking the slope's midway point, or 0, then the left end, -1, and finally the right end, 1.

Which expression is equal to 13/14?
-13/14
-13-14
-14-13
-14/13

Answers

Answer:

13/ 14 the first one

Step-by-step explanation:

Graph the equation 3x-5y=15

Answers

Answer:

sorry don't know but thanks for the coins bro

Step-by-step explanation:

because im broke and need answers to man i going to use the coin for good thanks again find somebody else

Answer:

5y= 3x-15

This is the equation of the graph in slope intercept form: y=3/5x-3

Here is the graph for it:

10 points to whoever can answer this!

Answers

Answer:

A

Step-by-step explanation:

The answer is A, because with absoulute value, the negative number will become positive. So positive 16 is obviously a bigger number than positive 4.

Have a great day friend! :D

Two sides of a triangle are 6 cm and 8 cm long. What can be the length of its third side.(Write all the possible lengths)
explain.............................................................

Answers

Answer:

Let the. length of 3rd side of a ∆ be x.

x>(8–6) cms. and. x <(8+6) cms.

or. x > 2 cms. and. x < 14 cms

or. 2 cms < x < 14 cm

Step-by-step explanation:

find the answer here

Twenty-five friends share equally the cost of buying a $200 gift. How much money does each person contribute?

Answers

Answer:

Each friend contributes 8 dollars

Step-by-step explanation:

200 ÷ 25 = 8 dollars

so each friend contributes 8 dollars

Answer:

Each person contributes $8

Step-by-step explanation:

200/25= 8

What is the value of x in the triangle?

Answers

[tex]cosec18°= \frac{perpendicular}{base} \\ cosec18°= \frac{25}{x} \\ \\ \ \: since: cosec18°=0.9511 \\ \\ 0.9511 = \frac{25}{x} \\ x = \frac{25}{0.9} = 26[/tex]

Please help and provide work please
Complete the proof: ​

Answers

Explanation:

Statement . . . . Reason

1. AE ≅ CE, AB  CD, E is the midpoint of BD . . . . Given

2. BE ≅ DE . . . . definition of midpoint

3. ΔEAB ≅ ΔECD . . . . SSS congruence postulate

Help will give brainiest as long as you explain and theres more than 2 people who answered.

Answers

Answer:

x = 117º

Step-by-step explanation:

Supplement to 117 is

180 - 117 = 63

The angle below line BC is marked as congruent to the 63º angle and is therefor also 63º

Therefor x is the supplement to 63º

180 - 63 = 117º

x = 117º

count the following atoms
NEED ANSWER ASAP​

Answers

Answer:

30

Step-by-step explanation:

There are 5 Zn atoms, 5 S atoms and 20 O atoms. In total, you have 30 atoms.

Answer:

30

Step-by-step explanation:

help plzz

Find the length of X​

Answers

Answer:

the answer is x=8 that is the answer

solve pls brainliest

Answers

The first box is 3 and the last 2 are 4/9

Guys help plzzzzzzzzzzzzz?!!!!

Answers

[tex]-2z -18 = -6 \\\\\implies -2(z+9)=-6\\\\\implies z + 9 = 3\\\\\implies z = 3-9 = -6[/tex]

i need answers thank you

Answers

Answer:

A

Step-by-step explanation:

Ahhhhhh please help me!!

Answers

Answer: chrome

Step-by-step explanation:

new tab then search it up

find the scale of each map: an actual distance of 50 km corresponds to 4 cm on the map.

Answers

Answer:

1 cm: 12.5 km

Step-by-step explanation:

Okay just find what the length of one cm equates to so

4/4=1

50/4=12.5

it's like making a unit measurement but yknow its scaling

so one cm (one unit in a way) equals 12.5 km.

3. Which of the following is true for a rigid motion?
A The preimage and the image have the same measurements.
B The preimage is larger than the image.
The preimage is smaller than the image.
D The preimage is in the same position as the image.

Answers

A. Answer correct I don’t know.

Solve for the unknown angle

Answers

Answer:

would you mind uploading a pic? I would be glad to help you with this problem!!!!!!!! <3

Step-by-step explanation:

x + 3y = 5
x + 2y = 3
Solve by using elimination​

Answers

Answer:

  (x, y) = (-1, 2)

Step-by-step explanation:

The variable x has the same coefficient in both equations, so we can eliminate x by subtracting one equation from the other. We notice the y-coefficient is greater in the first equation, so we want to subtract the second equation. This will ensure that the remaining y-term has a positive coefficient. (That is not required by the elimination method, but it helps reduce mistakes.)

  (x +3y) -(x +2y) = (5) -(3)

  y = 2 . . . . . . . simplify

  x =3 -2y = 3 -2(2) = -1 . . . . . use the second equation to find x

The solution is (x, y) = (-1, 2).

cual es el.producto 1/2 y 5/6​

Answers

Answer:

5/12

Step-by-step explanation:

1/2 × 5/6 = 5/12

Step-by-step explanation:

can you write it in english

!!!!!!!!!!!!!!!!!!!2

Answers

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve this problem in one step, we just have to look at the graph and see how the line works.

The equation of the line is [tex]y=8x+0[/tex] as the line rises by 4 for every hour they work. We can prove this by substituting points and seeing what we get.

In words, after reading our equation, we can see the following

"Every hour Anthony works, he earns 8 dollars".

We can see this because if we look at the line, when he works for one hour on the x axis, we gains 8 on the y axis

Hence our answer would be B.

Cheers!

The answer is B and it will be the best answer

help me with this please!

Answers

Answer is 4u + 36
Have a great day/night
your answer what would be 9+4u because distributive property is taking whatever is outside of parentheses and distributing it to each of the numbers inside of the parentheses so after you multiply 4×9 and 4xu then you get 9+4u as your answer

hope this helps:)))

Identify the sampling method used:

A random sample of 10 people from each of three different age categories were selected and asked how they would rate a new television show.

Answers

Using sampling concepts, it is found that a Stratified sample was used.

Samples are classified as:

Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken.  Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. However, only some elements of each group are surveyed.

In this problem, the population is divided into groups, according to the three different age categories, and then 10 people from each category is selected(that is, not all members), hence it is a stratified sample.

A similar problem is given at https://brainly.com/question/23106151

Help it’s confusing please

Answers

Answer:

She had $150 in the beginning before she bought the swimming items.

Step-by-step explanation:

You have the right numbers for the equation but you also times the money she had in total.

The equation is x-3(44)=18

44 is the total for one daughter and you times that by three to get for three duaghters.

Then you multiply -3 and 44 which is -132.

Which would be x-132=18

Now you would move -132 to the other side which would be +132 →x=18+132

x=150

Other Questions
Add and simplify. 2 3\8 + 9 1\8 = Which group of people did Washington surprise and capture after crossing the Delaware? Here are the options: -Spaniards- hessians- British redcoats- Frenchmen#carryon Learning Jay buys 60 square feet of tile for $324. Later, he buys another 20 square feet of tile. How much does the extra tile cost? ax2+bx+c=0 is not a linear equation. Discuss the reason Why does President Kennedy use a very short sentence ("That statement was false^ prime prime ) after a very long sentence? A. Because the President knew that the audience was not capable of listening to another really long sentence. B. The President had been speaking for so long, and he needed a break so he included a short sentence. C. it is the pattern of the entire speech: 1 long sentence followed by 1 short sentence throughout the entire piece. D.After a very long sentence, an extremely short one catches the listener's attention; he will listen more closely to it. A housepainter mixed 5 gal of blue paint with every 9 gal of yellow paint in order to make agreen paint. Which ratio of gallons of blue paint to gallons of yellow paint will make the sameshade of green paint? pls helpppppp i begggg Which of the following inequalitys matches the graph? A: x 5 B: x 5 C: y 5 D: y 5 what is the answer A company failed to record unrealized gains of $37 million on its available for sale debt security investments. Its tax rate is 25%. As a result of this error, comprehensive income would be: 4) A line has a slope of -5 and passes through the point (2, 2). An equation for this line is Part BEmmerson pours the clear water into the side of the vase with the soil and gravel. The series of animated pictures shows how his model looked over time. What do you observe? a, b, c and d are positive integers, such that a+b+ab = 20, c+d+cd = 34. Find (a+b+c+d)abcd Eric's jersey number is a two-digit odd number. The positive difference between the two digits is 7, and the sum of the two digits is 11. What is Eric's jersey number? What would you do if you (miss) the first bus what type of ions carry the impulse across the synapse from one neuron to the next ? Thinking back to that presentation in the library makes me smile. What started out as three high school boys skipping class turned out to be the most significant event in our lives. If we had made it to the gym that day instead of the library, more than likely the streets would have swallowed us in the next few years. We never would have become doctors. Everything we needed to start on the road to success was included in one forty-five-minute presentation. And we almost missed it.This was the first time that a path to my dreams was shown to me. Deep inside, I knew I could accomplish anything if given the chance. I just didn't know how to find that opportunity. That presentation showed me the possibility of reaching goals I had only dared to dream about. I think if a person dreams hard enough, sometimes a door will open to make that dream come true. Of course, it helps to be prepared to go through the door when the opportunity arises. We almost missed it.We also had no idea that day that we were forming a pact that would last a lifetime. We just knew that somehow each of us individually might fail, but the strength of the three of us together just might be enough to succeed.We Beat the Street,Sampson Davis et alBased on the central ideas and details from the passage, write one to three sentences summarizing how the three friends changed and stayed the same after seeing the presentation. WILL GIVE BRAINLIST Marys sister is 7 years older than Mary. Their combined ages add up to 35. How old is Mary How do you show that x=6 is an true equation ? A student pushes on an object with a force of 6 newtons and the object does not move. what force does the object exert on the students hands? "5 more than a number translates to an equation.OTrueMwO False