Mathematics High School

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]

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Answered by Benjemin360 ☺️

Related Questions

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.

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:)))

Guys help plzzzzzzzzzzzzz?!!!!

Answers

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

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)

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

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:

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 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

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]

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

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).

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

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:

help plzz

Find the length of X​

Answers

Answer:

the answer is x=8 that is the answer

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

i need answers thank you

Answers

Answer:

A

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°

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

Ahhhhhh please help me!!

Answers

Answer: chrome

Step-by-step explanation:

new tab then search it up

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:

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.

What is the volume of this triangular prism?
​

Answers

Answer:

576 cm squared

Step-by-step explanation:

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.

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

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

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

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

solve pls brainliest

Answers

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

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:

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