1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
klasskru [66]
4 years ago
6

Solve this system of linear equations. separate the x- and y- values with a coma. -12x=-75-11y

Mathematics
1 answer:
ycow [4]4 years ago
4 0
Solve the following system:
{-12 x = -11 y - 75 | (equation 1)
{-5 x = -11 y - 89 | (equation 2)
Express the system in standard form:
{-(12 x) + 11 y = -75 | (equation 1)
{-(5 x) + 11 y = -89 | (equation 2)
Subtract 5/12 × (equation 1) from equation 2:
{-(12 x) + 11 y = -75 | (equation 1)
{0 x+(77 y)/12 = (-231)/4 | (equation 2)
Multiply equation 2 by 12/77:
{-(12 x) + 11 y = -75 | (equation 1)
{0 x+y = -9 | (equation 2)
Subtract 11 × (equation 2) from equation 1:
{-(12 x)+0 y = 24 | (equation 1)
{0 x+y = -9 | (equation 2)

Divide equation 1 by -12:
{x+0 y = -2 | (equation 1)
{0 x+y = -9 | (equation 2)
Collect results:
Answer:  {x = -2                {y = -9

please note that the parentheses "{" should span over both equations but the editor doesn't allow that so I should it on both line, See attached example.










You might be interested in
What's greater than -1
MArishka [77]

Answer:

hi its 1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the circumference of the following circle?<br> 3 cm
Serjik [45]

Answer:

the circumference is 9.42 cm

Step-by-step explanation:

3.14 · (3 cm)

c = 9.42 cm

hope this helps :-)

8 0
3 years ago
Read 2 more answers
A nation has five types of coins: sinds, dalts, lorgs, harps, and plunks.
USPshnik [31]
<h3>Answer:  d) plunk</h3>

=================================================

Work Shown:

When comparing units like inches, feet and yards, we need to get everything in the same unit to make a valid comparison. So we'd need to convert everything to inches for instance. The same idea applies to these five coins. We need to get everything in either lorgs, sinds, plunks, harps or dalts (pick one of those five).

It's effectively the same as trying to convert dollars into cents (eg: $1.37 converts to 137 cents). Or you can think of it as 1 dollar = 100 cents, 1 quarter = 25 cents, 1 dime = 10 cents, and so on.

The steps in the various sections below will aim to get all the coins converted to lorgs as our base unit. I found the lorg coin to be the smallest of value through trial and error, which is why I'm aiming to get everything in terms of lorgs.

The four given equations are

  • 1 sind = 4 lorgs
  • 2 plunks = 5 dalts
  • 5 sinds = 2 harps
  • 1 plunk = 3 harps

I'll refer to them as equation (1) through equation (4) in that order above.

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

1 sind = 4 logs .... equation (1)

5 sinds = 20 lorgs .... multiply both sides by 5

2 harps = 20 lorgs .... replace "5 sinds" with "2 harps" from equation (3)

1 harp = 10 lorgs .... divide both sides by 2; call this equation (5)

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

1 plunk = 3 harps .... equation (4)

1 plunk = 3*(1 harp)

1 plunk = 3*(10 lorgs) .... plug in equation (5)

1 plunk = 30 lorgs .... call this equation (6)

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

2 plunks = 5 dalts ..... equation (2)

5 dalts = 2 plunks

5 dalts = 2*(1 plunk)

5 dalts = 2*(30 lorgs) .... replace 1 plunk with 30 lorgs; see equation (6)

5 dalts = 60 lorgs

1 dalt = 12 lorgs ..... divide both sides by 5; call this equation (7)

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

We found the following conversions:

  • 1 sind = 4 lorgs .... given as equation (1)
  • 1 dalt = 12 lorgs .... found earlier as equation (7)
  • 1 harp = 10 lorgs .... equation (5)
  • 1 plunk = 30 lorgs  .... equation (6)

Each of those equations helps us see how much the value of the coins sind, dalt, harp, plunk are in terms of lorgs.

We can see that 1 plunk yields the most lorgs at 30. So the plunk coin is the most valuable. The lorg coin is least value since you need 4 of those coins to make the second lowest coin of 1 sind.

The order of the coins value from least to greatest is: lorg, sind, harp, dalt, plunk.

5 0
3 years ago
This the right one click it so you can get it right
Volgvan

Answer:

The one highlighted yellow is the correct option

6 liters is to 72 km as 50 liters is to x km

8 0
3 years ago
I have one selected but I don't know if it's right? can someone tell me the right answer so I can understand what I did wrong?
kozerog [31]

Answer:

It's y = 3

Step-by-step explanation:

Reason why it's not x = 3 is because x is on the left to right or horizontal plane, therefore it would be y because y is on the vertical axis. If using x, it would be a vertical line on x while using y would create a horizontal line.

5 0
3 years ago
Read 2 more answers
Other questions:
  • AP SCHOOL GIVING AWAY 17 POINTS INCLUDING THE BRAINLYST ANSWER!
    10·2 answers
  • The distance between Lakeview and Sun Valley s 89 km. About how far is this in miles
    13·1 answer
  • What's 3/4 times 168
    9·2 answers
  • What is 423.408 rounded to the neatest hundredth
    9·2 answers
  • This uses pythagorean theorem
    7·2 answers
  • All possible equal number combinations of 120
    8·1 answer
  • The initial cost of an office fax machine is $100. After 1 year, its value becomes $80. Which is the correct linear depreciation
    14·1 answer
  • What are the quartiles of the data represented by the box-and-whiskers graph shown.
    6·1 answer
  • ect all expressions that are equivalent to 12 - 4x. A. A. 4(3 - x) B. -4(x - 3) C-40-3 + x) D 216 - 2x​
    5·1 answer
  • If a line is perpendicular to a line segment what angle do they form at their intersection
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!