Solve the system of linear equations by elimination. Check your solutions.

-5x + 3y = -6
9x - 4y = 1

Answers

Answer 1

We can divide both sides of the equation by 43 to solve for x:

90x / 43 - 47y / 43 = -49 / 43

x = -49/43

We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:

-5x + 3y = -6

(-5 * -49/43) + 3y = -6

y = (-6 + 5 * 49/43) / 3

y = 17/43

The solution to the system of equations is (x, y) = (-49/43, 17/43).

To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.

In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:

(-5 * -49/43) + (3 * 17/43) = -6

This simplifies to -6 = -6, which is true, so the solution holds for this equation.

In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:

(9 * -49/43) - (4 * 17/43) = 1

This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.

Therefore, the solution (x, y) = (-49/43, 17/43) is correct.

Answer 2
-5*9=-45
-45x+3*9y=-6*9
Equation1: -45x+27y=-54

Equation2: -45x-(4*(-5))y=1*(-5)
-45x+20y=-5

Equation1-equation2= 27y-20y=-54-(-5)
7y=-49
Y=-7

9x-4*(-7)=1
9x=1-28
X=-3

(X, y)=(-3, -7)

Related Questions

Find the area of figure 3.

Answers

The answer is 4 square meters

n order to bring back customers to the AMC Movie Theaters, they are offering two movie plans; a Family Plan of 4 used to cost $25 is now discounted to $19.05; and the Individual Plan used to cost $12.50 is now discounted to $10. Which of the two AMC Movies plans is the better plan? pls help me asap!

Answers

Is gonna be the family plan please give brainlist and help me report the comment on top is a page virus

Answer:

family plan

Step-by-step explanation:

family plan: $19.05/4 = 4.76 per person and individual plan: $10 per person

Evaluate the problem

3.14(6 × 4 + 6^2)

Answers

Answer:

188.4

Step-by-step explanation:

the answer is 188.4.

PLEASE HELP ME!!!!!!!! THIS IS TIMED PLEASE HELP ME!!!!!!!!!! PLEASE HELP!!!!!!!!!

Answers

I think if you do 11 - 6 = 5 because it say that 6 not play so you would do 8 - 2 = 6 and then you do 6 + 5 = 11 because the says in all
11-6=5
8-2=6
Answer 6+5=11

A truck is carrying grape juice, passion fruit juice, and pear juice bottles in a ratio of
2 : 1 : 2. If there are 20 grape juice bottles, then how many passion fruit juice bottles are
there?

Answers

Answer:

10

Step-by-step explanation:

you can see the ratio was multiplied by 10 so you need to multiply one by 10

10 is the answer to your question

janet bought a dress for $245. she recived a 15% discount vecause she is a loyal customer. in addition she recived another 10% off. calculate janets final bill​

Answers

$187.42 !!!!!!!!!!!!!!!!!!!!
First turn 15% into a decimal= .15
Multiply .15 * 245 =$36.75 ok that’s the first discount!

Second discount is 10% so turn 10% into a decimal (by dividing your percentage by 100) = .10
Multiply .10*245= $24.50 <- that’s your second discount

Ok now take both those answers and subtract them from her original $245 bill.

245-(24.50+36.75)= $183.75

Her final bill is $183.75

First answer gets brainliest. Also pls im desprete for a answer

Answers

Answer:

81 for the first paper, and 108.5 for the second paper. Combined, this is 189.5.

Multiply length times width to get the area. Then add the two total areas.

The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown.

A trapezoid has a base of 3 inches, height of 1 inches, and top side length of 1 inch.

What is the area of one trapezoidal face of the figure?

Answers

The trapezoid face of a figure will also be known as the trapezoid area.

Trapezoid area formula:

(base1 + base2)/2 * height

Let’s plug in some values

(3 + 1)/2 * 1
(4)/2 * 1
2 * 1
2

The area of the trapezoidal face would be 2 in^2

2.The base of a rectangular pyramid has dimensions 3 feet by 9 feet. The height of the pyramid is 11 feet.


What is the volume of the rectangular pyramid in cubic feet? Answer below, no units.


Question 3.

The dimensions of a triangle prism are shown in the diagram.

What is the volume of the triangular prism in cubic centimeters?

Answers

the answer would be 170 i think

8.5 times 10 divided by 3 and times 6

Seth's bank charges $7 a month to maintain a checking account and $0.50 for each check Seth writes. Last month, Seth paid a total of $11.50 in checking account fees. How many checks did he write?
A. 6
B. 7
C. 8
D. 9

Answers

11.50-7=4.5; 4.5/0.5=9
He wrote 9 checks.
Seth wrote 9 checks that month

ANSWER BOTH PLEASEEE!!!
A. A car corporation produced 580 fewer cars this month than last.
Write a signed number to represent this month's change in production.

B. Debra's test score average increased by 4 points this semester.
Write a signed number to represent this change in average.

Answers

i don’t know i need this too lol

are humans real
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Answers

Answer:

aaaaaaaaaaaaaaaaaaaa

AAAAAAAAAAAAAAAAAAAAAaaaaaAaAAaaaAAaAAAaAAaA

Determine the constant of proportionality in the situation below.
Seven water bottles cost $14.28.
pls be serious thx

Answers

Answer:

$99.40

Step-by-step explanation:

answer:
99.40 :)
hope this helped

HELP ME ASAP

no links no files and no websites

Answers

Answer:

I got you!

Step-by-step explanation:

If you calculate the area you must multiply both sides.

The answer may be the following:

Exact Form: 203/18

Decimal form: 11.27...

Mixed number form: 11 5/8

btw take care of yourself and love ur profile picture!

                                               -lei

The answer is 11/58 :))))

Victor wants to conduct a survey to find how much time the students of his school spent playing football. Which of the following is an appropriate statistical question for this survey?

Who plays football on weekends?
Who plays football the most on Mondays?
How many hours per week do you play football?
How many students play football for one hour every day?

-----------------------------
honestly the best route on brainly is being a troll since nobody does anything about it..

Answers

Answer:

C,How many hours per week do you play football?

Step-by-step explanation:

bcz i knw

C. How many hours per week do you play football?
It’s the only good question, since it asks how much hours they play football, not what days do you play football etc.

Can anyone help with this?

Answers

Answer: I would say B is correct

Step-by-step explanation:

You should choose b as the answet

Only answer if you know the correct answer! Thanks! :)

Answers

Answer:

i=35

Step-by-step explanation:

105÷3=35

3×35=105

Answer:

i = 35

Step-by-step explanation:

You just do the opposite. In this equation you multiply but you could do the inverse operation which is division. 105 divided by 3 equals 35. You can also check, 35x3 which equals 105. (sorry if this is confusing)

A factory makes aquariums. Each aquarium is in the shape of a triangular prism, as shown below. If the factory made aquariums that require a total of
of water, how many aquariums did the factory make?
12,600 ft of water, how many aquariums did the factory make?

Answers

Answer:

the answer is 384

Step-by-step explanation:

The factory made about 382 aquariums:

What is the area of the object (PROVIDE NUMBER ONLY) *

Answers

area - 90 ft :) hope this helps

Answer:

45

Step-by-step explanation:

You use the equation A=1/2BH

plug in 6 and 15 and multiply

2 1\4 - 3\4




it for my little sister

Answers

Answer:

1 2/4 or 1 2/4

Step-by-step explanation:

convert 2 1/4 into an improper fraction.

9/4-3/4=6/4

make 6/4 into a mixed number.

1 2/4

simplify

1 1/2

answer why? bc yes :>

Answers

Answer:

Your answer is 40.7 or 40 and 7/10

Step-by-step explanation:

A = L*w

A= 7.5*5.5

A= 40.7 or 40 and 7/10

Please answer soon!!!!!!!!!!!

Answers

Answer:

The second choice

The two events are dependent, so the probability of the second event is 1/3. P = 1/12

Step-by-step explanation:

The second choice... 1/12

what type of association is shown in the scatterplot

Answers

Answer:

Positive linear association

Step-by-step explanation:

As the time increases so does the points.

Marty slides point (-2,-5) to (4,-7) and then slides the new point to (-1, -10). Which single translation could Marty use to reach the final point (-1, -10) from the starting point?
A - (x,y)➝(x+1,y-5)
B - (x,y)➝(x+1,y+2)
C - (x,y)➝(x-5,y-3)
D - (x,y)➝(x-1,y-5)

Answers

Answer:

It is (x,y) (x+1,y-5)

Step-by-step explanation:

Joe must choose a number between 49 and 95 that is a multiple of 3 , 9, and 12 . Write all the numbers that he could choose. If there is more than one number, separate them with commas.

Answers

The first number 49 or larger that is divisible by 3 is 51 (17 * 3 = 51) so begin at 51 and count by 3's until you get to 95:51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93The first number 49 or larger that is divisible by 6 is 54 (6 * 9 - 54) so begin at 54 and count by 6's until you get to 95:54, 60, 66, 72, 78, 84, 90The first number 49 or larger that is divisible by 9 is 54 (9 * 6 - 54) so begin at 54 and count by 9's until you get to 95:54, 63, 72, 81, 90Now look for the numbers that are in all three lists

The only number that is a multiple of 3, 9, and 12 between 49 and 95 is 72

Help me with this plzzz

Answers

The answer is c 16475
the right answer is c 16475

On your own paper, plot the Points E(−2,2) and F(8,10). Use the vertical and horizontal grid lines to draw a right triangle with these two points as vertices.

Question 1
Part A

Label the third vertex of your right triangle Point G. Identify the two possible coordinates of Point G.

Enter the correct answers in the boxes

Answers

Answer:

(-2, 10) and (8, 2)

Step-by-step explanation:

Which point on the grid have they not explored?

A. (0,3)

B. (-2,-2)

C. (3,-3)

D. (-3,1)

Answers

Answer:

(-3, 1)

Step-by-step explanation:

The answer is D (-3,1)

Calculate the Standard Deviation of the following set of data. 14, 15, 16, 16, 9, 3, 16, 20, 29, 12

Use the image below

Answers:
A) 46
B) 23
C) 7.66
D) 6.78

Answers

Answer: D

Step-by-step explanation:

Only answer if you know the correct answer! Thanks! :)

Answers

Answer:

1. 1/36

2. 1

3. 0.001

4. 8

Step-by-step explanation:

Answer:

1. 1/36

2. 1

3. 0.001

4. 8

Step-by-step explanation:

anything to the zero power is equal to one :)

I hope these helped

Other Questions
Which battle was the first armed conflict of the Revolutionary War?A: Battle of YorktownB: Battle of BunkerhillC: Battle of SaratogaD: Battle of Lexington and Concord Please help!! ;(((( Im struggling which formats are acceptable when preparing various types of reports using one report type as an example. What questions do you think the author purposely left unanswered? (Paisley My Sky) According to Abraham Maslow, a major prerequisite for becoming self-actualized is having:A) all of one's lower-order needs fulfilled.B) a major altruistic streak.C) a very selfless nature.D) suffered in the past so one can truly appreciate the good aspects of life. 12. The Holocaust is best described by which of the following definitions?OThe genocide of Jews in Europe that occurred between 1941-1945The genocide of Armenians in TurkeyThe collapse of the Weimar RepublicNone of the Above What was the outcome of the Sepoy Rebellion ? 1. a room has dimensions 15m by 9m by 12m the dimensions of its scale model is 5m by 3m by 4m what is the ratio of the dimensions of the actual room to that of the scale model2. the ratio of the dimensions of the scale model to that of the actual object s 1:16 the length and width of the actual object are 2.4m and 1.8m respectively Explain two ways the new evangelisation is important for the Catholic Church today (refer to SOWA) 24. What type of characterization is used in the following example?"Peter was very lazy and would never shift himself more than absolutely necessary.'a. Direct characterizationb. Indirect characterizationc. Both A and Bd. Neither 4. Explain what this section of Plato's Republicreveals about the culture of ancient Greece thatis relevant for our culture today. Cite textualevidence to support your ideas. What role does place value have in finding 10% and 1% of a number? Write at least two complete sentences. How many states had to agree to pass a law according to the Articles of Confederation? What is the volume of one cylinder ?? 3. A prism has a right triangular base with legs of 2 and 6 inches, meaning the legs are the base and height of the triangle. The height of the prism is 4 inches. What is the volume of theprism?12 inches24 inches32 inches48 inches4. You are choosing between two different cheese wedges at the grocery store. Assume both wedges are triangular prisms with bases that are isosceles triangles. The first wedge has a base that is 2.5 in. wide and a height of 4.5 in., with the entire wedge being 3 inthick. The second wedge has a base that is 3 in. wide and a height of 4 in., with the entire wedge being 3.5 in. thick. Which wedge has a greater volume of cheese, and by how much?A. The first wedge by 6.375 cubic inchesB. The first wedge by 12.75 cubic inchesC. The second wedge by 8.25 cubic inchesD. The second wedge by 4.125 cubic inches5. A triangular prism has a base area of 43 square meters and a volume of 645 cubic meters. What is the height of the prism?A. 12 mB. 15 mC. 25 mD. 32 m The null and alternative hypotheses divide all possibilities in to:a. two sets that may or may not overlap .b. as many sets as necessary to cover all possibilities c. two non-overlapping sets d. two sets that overlap reset selection 28 = 4/5 x - 8 What value of x makes the equation true? Beatrice has a rectangular swimming pool in her backyard. The dimensions are 16 feet by 8 feet. She decides to build a deck of uniformwidth around the pool. Together the pool and the deck will have an area of 384 square feet.a) write the expression to represent the length and the width of the swimming pool with the deck around it b) find x, the width of the deck what might make somebody turn to extremism? list 3 examples I need the answer asap