For each ordered pair determine whether it is a solution to the system of equations 2x-7y=8 -3x+2y=5

Answers:
(-3,-2)

(4,0)

(5,4)

(-7,-8)

Answers

Answer 1

Answer:

The solution of this system of linear equations is [tex](x,y) = (-3,-2)[/tex].

Step-by-step explanation:

Let be the following system of linear equations:

[tex]2\cdot x - 7\cdot y = 8[/tex] (1)

[tex]-3\cdot x + 2\cdot y = 5[/tex] (2)

From (1) we clear [tex]y[/tex]:

[tex]2\cdot x -8 = 7\cdot y[/tex]

[tex]y = \frac{2\cdot x - 8}{7}[/tex]

And we apply this variable in (2):

[tex]-3\cdot x+2\cdot \left(\frac{2\cdot x -8}{7} \right)= 5[/tex]

[tex]-3\cdot x +\frac{4}{7} \cdot x -\frac{16}{7} = 5[/tex]

[tex]-\frac{17}{7}\cdot x = \frac{51}{7}[/tex]

[tex]x = -\frac{51}{17}[/tex]

[tex]x = -3[/tex]

And the value of [tex]y[/tex] is:

[tex]y = \frac{2\cdot (-3)-8}{7}[/tex]

[tex]y = -\frac{14}{7}[/tex]

[tex]y = -2[/tex]

The solution of this system of linear equations is [tex](x,y) = (-3,-2)[/tex].


Related Questions

In which quadrant is point C located

Answers

Answer:

Quadrant 4

Step-by-step explanation:

pls help me solve this

Answers

Answer:

x=10

Step-by-step explanation:

Because BC is a mid segment

Answer:

10

Step-by-step explanation:

These are similar triangles, which means that the ratio between 16 to 8 will equal x+10 to x. This could be written out as 16/8 = x+10/x. 16/8 is 2, which means that x+10 is twice the amount of x. We can write this out as 2x = x+10. We can then simplify this and get x = 10

Tony buys 3 bags of oranges there are 6 oranges in each bag. which expression represents the total number or oranges ​

Answers

3 x 6 = x


X = 18 oranges

Answer:

3x6

Step-by-step explanation:

Someone please help me I’m struggling rn

Answers

Answer:

HAVE A GOOD DAY !! YAYAYA

I’ll love you forever if you help me with this ASAP PLEASE

Answers

Answer:

y = 4

or (0, 4)

Step-by-step explanation:

intersecting the y-axis is basically when x is equal to 0.

1.5(0) +4.5y = 18

y = 4

So your y-intersect is (0, 4) and thats when it intersects the y-axis.

y= 4 Hope it helps! <3

Find the value of f (-2)for the function f (c) = 5x+8

Answers

F(-2) means to replace x in the equation with -2 and then solve.

5(-2) +8 = -10 + 8 = -2

The answer is -2

Suri saved $50 of her paycheck the first week she worked and $25 of her paycheck each week after the first week.
How many weeks did it take Suri to save a total of $1,000?

Answers

Answer: 40 weeks

Step-by-step explanation:

1000/x=25

1000 divided by 25=40

x=40 weeks

I have 8 questions witch means 80 points answer correctly!

Answers

Answer :

[tex] \Large \pink{\tt \dfrac{35}{36}}[/tex]

Solution :

[tex] \tt \dfrac{3}{4} + \dfrac{2}{9}[/tex]

By taking LCM = 4 × 9 = 36

[tex] \tt = \dfrac{3 \times 9}{4 \times 9} + \dfrac{2 \times 4}{9 \times 4}[/tex]

[tex] \tt = \dfrac{27}{36} + \dfrac{8}{36}[/tex]

[tex] \tt = \dfrac{27 + 8}{36}[/tex]

[tex] \tt = \dfrac{35}{36}[/tex]

[tex] \pink{\tt \therefore \: Answer \: is \: \dfrac{35}{36}}[/tex]

p(x)=6/7x+4 What is P(42)

Answers

40

P(42) = (6/7)(42) + 4 = 36 + 4 = 40

Find the sale price of the item. Round to two decimal places if necessary. Original price: $82.00 Markdown: 33%

Answers

Answer:

54.67 Dollars

Step-by-step explanation:

82 / 3 = 27.33, 82 - 27.33 = 54.67 :D

Answer:54.94

Step-by-step explanation:

4x^3(5x) = what,
will mark brainliest

Answers

Answer:

the answer is 20x^4

Step-by-step explanation:

too long to explain, simple answewr

pls helppp
math work
bleh

Answers

Answer:

m = -10

Step-by-step explanation:

>:)

Answer:

m= -10

Step-by-step explanation:

2< -7 - (-10)

2< -7 + 10

2< 3

Write an equation of the line that passes through (-4,3) and (0,6
)

Answers

Answer:

y=¾+8

Step-by-step explanation:

Using the approach y-y1=m(x-x1),where m is the slope defined by ∆y/∆x

So ∆y/∆x=y2-y1/x2-x1

m=6-3/0-(-4)

m=¾

Now plug in m=¾ into the approach and simplify

y-3=¾(x-(-4))

y-3=¾(x+4) Multiply through by 4

4y-12=3x+12 Transpose it for y

4y=3x+12+12

4y=3x+24 divide through by 4

y=¾+8

pls help :( i’ll give brainliest

Answers

Answer:

x=12; Converse of conrresponding angles postulate

Step-by-step explanation:

On parrallel lines the corresponding angles are equal. To find x we can set up the equation up like this:

8x-17=5x+19

Solve

X=12

The converse used was the Converse of Corresponding Angles Postulate

plz help it’s the pythagorean theorem

Answers

36 bc IK jansunavaihabsuz

Question 24 (1 point)
Which of the following is NOT a Congruence Postulate/Theorem
SSS
4
АА
SAS
ASA

Answers

AA is not a congruence Postulate/ Theorem

Find the 52nd term of the arithmetic sequence-8, -12, -16,...

Answers

Answer:

-212

Step-by-step explanation:

This question seems to be incrementing by steps of -4, starting at -8.  To get the 52'nd term, we can simply start at the first term and add that -4 51 more times.

Assuming that negative eight is the first term then, we get:

-8 - 4 * 51

= -8 - 204

= -212

The 52nd term of the sequence will be -212.

What is a sequence?

A sequence of events or things is a number of events or things that come one after another in a particular order.

Given a sequence, -8, -12, -16,...

nth term of a sequence is given by

an = a + (n-1)*d

a(-212) = -8 + (52-1)*-4

a(-212) = -8-204

a(-212) = -212

Hence, The 52nd term of the sequence will be -212.

For more references on sequences, click;

https://brainly.com/question/21961097

#SPJ5

At a real estate​ agency, an agent sold a house for ​$396,000. The commission rate is ​7.5% for the real estate agency and the commission rate for the agent is ​20% of the amount the real estate agency gets. How much did the agency make on the​ house? How much did the agent earn in​ commission?

Answers

Answer:

$29,700 and $79,200

Step-by-step explanation:

Step one:

given

The selling price of the house is  ​$396,000

The commission rate is ​7.5% for the real estate agency

The commission rate for the agent is ​20%

Step two:

1. How much did the agency make on the​ house?

This amount is 7.5% of $396,000

= 7.5/100*396,000

= 0.075*396,000

=$29,700

2. How much did the agent earn in​ commission?

This amount is 20% of $396,000

= 20/100*396,000

= 0.2*396,000

=$79,200

for geometry help thanks <33

Answers

Answer:

12

Step-by-step explanation:

CAN SOMEONE ASAP HELP ME PLEASE

Answers

Answer:

Step-by-step explanation:

6+11=17/2*8=136/2

68.

-3/4-5/8=
This is a simple math problem
But it’s to hard for me
And I really need help
Not from someone who doesn’t know the answer

Answers

-11/8 because you turn the first one into -6/8 and then subtract to get -11/8

NEED ANSWER ASAP!!!!!!!!
An airplane is flying at 32,000 feet when it starts it’s decent. It is
descending at a rate of 2000 feet per minute. Let x represent the minutes
of the flights descent and y represent the plane’s altitude.

a. Fill in the table.

b. Write an equation in slope-intercept form for the plane’s altitude.
c. Graph the equation from part (b).

Answers

Step-by-step explanation:

table

0 32000

1 30000

2 28000

3 26000

4 24000

question 2

y= - 2000*x+32000

graphic

An 8-column table with 14 rows titled Table 1, Employment by major industry sector, 1996, 2006, and projected 2016. Column 1 is labeled Industry sector with entries services-providing, utilities, wholesale trade, retail trade, transportation and warehousing, information, financial activities, professional and business services, educational services, health care and social assistance, leisure and hospitality, other services, federal government, state and local government. Column 2 is thousands of jobs in 1996 with entries 97,042.9, 639.5, 5,522.1, 14,142.6, 3,935.5, 2,940, 6,968.6, 13,461.8, 2,077.5, 11,604.8, 10,776.5, 5,434.9, 2,877, 16,662.1. Column 3 is labeled thousands of jobs in 2006 with entries 114,407.3, 548.5, 5,897.7, 15,319.4, 4,465.8, 3,054.9, 8,363.2, 17,551.6, 2,918.4, 14,919.8, 13,143.4, 6,234.6, 2,728.3, 19,261.7. Column 4 is labeled thousands of jobs in 2016 with entries 130,189.7, 517.6, 6,326.2, 16,006.4, 4,962, 3,266.7, 9,570.1, 21,643.7, 3,527.4, 18,954.1, 15,016.7, 7,077.2, 2,625.7, 20,696.1. Column 5 is labeled Numeric change 1996 to 2006 with entries 17,354.4, negative 91, 375.6, 1,176.8, 530.3, 114.9, 1,394.6, 4,089.8, 840.9, 3,315, 2,366.9, 799.7, negative 148.7, 2,599.6. Column 6 is labeled numeric change 2006 to 2016 with entries 15,782.4, negative 30.9, 428.5, 687, 496.2, 211.8, 1,206.9, 4,092.1, 609, 4,034.3, 1,873.3, 842.6, negative 102.6, 1,434.4. Column 7 is labeled Average annual rate of change, 1996 to 2006 with entries 1.7, negative 1.5, .7, .8, 1.3, .4, 1.8, 2.7, 3.5, 2, 1.4, negative .5, 1.5. Column 8 is labeled average annual rate of change, 2006 to 2016 with entries 1.3, negative .6, .7, .4, 1.1, .7, 1.4, 2.1, 1.9, 2.4, 1.3, 1.3, negative .4, .7. Based on the above chart, which industry’s average annual rate of change is projected to decrease the most in the 2006-2016 period as compared to its average annual rate of change during 1996-2006? a. Utilities b. Educational services c. Federal government d. State and local government

Answers

Answer:

It's not A or D it has to be B or C.

Step-by-step explanation: i just took the quiz on edge and it wasn't  A or D.

Answer:

Its B

Step-by-step explanation:

Brainliest to the correct answer

Answers

No, x and y do not have a proportional relationship because if we do cross multiplication they are not equal to each other.

Nathan has a 16 ounce energy drink. He drinks 9 ounces. Enter the percentage of ounces Nathan has left of his energy drink. Round your answer to the nearest hundredth

Answers

Answer:

56%

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

Answer:

43.75%

Step-by-step explanation:

step 1

16-9=7

7ounce remains

step2

7 of 16 ounce remains

convert into percentge

7/16×100=43.75%

If the height of Mount Everest is about 8.8 time 10 to the third power meters and the height of the Empire State Building is about 3.8 times 10 to the second power meters which of these statements is a true

Answers

Answer: C. Mount Everest is about 23 times as tall as the Empire State Building

Step-by-step explanation:

The options are:

A.There is no way to compare these heights

B.Mount Everest is about 40 times as tall as the Empire State Building

C.Mount Everest is about 23 times as tall as the Empire State Building

D.The Empire State Building is about 23 times as tall as Mount Everest

Mount Everest = 8.8×10^3 meters = 8800 meters

Empire State Building = 3.8×10^2 = 380 meters

Mount Everest is (8800 / 23) = 33 times as tall as the Empire State Building. Therefore, the correct option is C.

Answer:

Mount Everest is about 23 times as tall as the Empire State Building. Hope that helps!

a rectangular window frame has demotions expressed by 3x and (2x -5). find a simplified expression for its perimeter and determine the actual perimeter if x equals 3meteres

Answers

Answer: Simplified Equation (10x-10)

Answer if 3=x is 20

Step-by-step explanation:

the original side lengths are 3x and (2x-5) so multiply both those by 2.

Now you have 6x and 4x-10.

Now combine those and you have 10x-10.

Then plug in 3 for x

Find the original ordered pairs.

Answers

You se I’m so dum I can’t do this good lick

Write an equation to represent the table. (1 point)

Boxes of Candy
5
7
9
Pieces of Candy
80
112
144

Answers

9514 1404 393

Answer:

  pieces of candy = 16 × boxes of candy

Step-by-step explanation:

Each "pieces" number is 16 times the corresponding "boxes" number, so we can write ...

  pieces of candy = 16 × boxes of candy

__

If you like, you can assign variables. Let x = boxes of candy, and y = pieces of candy. Then you have ...

  y = 16x

Please help! I’ll mark brainlist and 5 stars!

(You have to see which one is right for the sentence provided, and which ones are false out of A-D)

A. The equation of the line is y = 1/2x

B. Sasha can make 60 gift bags in 2 hours.

C. The constant of proportionality is l = 1/2

D. Sasha can make 2 bags per minute.

Answers

Answer:

D

Step-by-step explanation:

The reason D is false is because it states that Sasha can make 2 bags per minute while she cant make 2 bags per minute. She can make half a bag per minute. D is wrong 100%

Answer:

Step-by-step explanation:

Distance covered = speed × time.

Sasha runs at a constant speed of 3.8 meters per second for 1/2 hour.

This means distance covered while running would be

3.8 × 1/2 = 1.9 meters

Then she walks at a constant rate of 1.5 meters per second for 1/2 hour. This means distance covered while walking would be

1.5 × 1/2 = 0.75 meters

Total distance that Sasha covered while running and walking in 60 minutes would be

1.9 + 0.75 = 2.65 meters

Step-by-step explanation:

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