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
lora16 [44]
3 years ago
5

4 - 4y = -2 - 9x - 4y = -3

Mathematics
1 answer:
arsen [322]3 years ago
7 0

Answer:

x = -1/3 , y = 3/2

Step-by-step explanation:

Solve the following system:

{4 - 4 y = -2

-9 x - 4 y = -3

Express the system in standard form:

{0 - 4 y = -6

-9 x - 4 y = -3

Express the system in matrix form:

(0 | -4

-9 | -4)(x

y) = (-6

-3)

Write the system in augmented matrix form and use Gaussian elimination:

(0 | -4 | -6

-9 | -4 | -3)

Swap row 1 with row 2:

(-9 | -4 | -3

0 | -4 | -6)

Multiply row 1 by -1:

(9 | 4 | 3

0 | -4 | -6)

Divide row 2 by -2:

(9 | 4 | 3

0 | 2 | 3)

Divide row 2 by 2:

(9 | 4 | 3

0 | 1 | 3/2)

Subtract 4 × (row 2) from row 1:

(9 | 0 | -3

0 | 1 | 3/2)

Divide row 1 by 9:

(1 | 0 | -1/3

0 | 1 | 3/2)

Collect results:

Answer:  {x = -1/3 , y = 3/2

You might be interested in
A die is rolled twice. What is the probability of getting either a multiple of 2 on the first roll or a total of 8 for both roll
Nuetrik [128]

Answer:

Step-by-step explanation:

let A=favorable outcomes for getting multiple of 2

they are 21,22,23,24,25,26,

41,42,43,44,45,46,

61,62,63,64,65,66

P(A)=18/36

let B=total of 8

favorable outcomes are 26,35,44,53,62

P(B)=5/36

P(A∩B)=3/36

P(A OR B)=P(A∪B)=P(A)+P(B)-P(A∩B)=18/36+5/36-3/36=20/36=5/9

5 0
3 years ago
If another line is perpendicular to the line shown on the graph, what must be its slope
Shtirlitz [24]

It's B

Slope is negative, the other must be positive due to m1 x m2 = - 1

m1 = -2/5

The diagram shows a gradient of -2/5. So, the

reciprocal of this valve to make - 1 is 5/2 (which is the - 2/5 flipped upside down, but positive)

-2/5 x 5/2 = - 10/10 (or - 1)

Thus, the perpendicular line to this has a gradient of 5/2.

Hope this helps!

4 0
2 years ago
A farmer randomly inspected 16 of his 93 peach trees for signs of disease. Two of those trees showed signs of disease. Find .
Dmitriy789 [7]
 <span>I think you wanted to find p̂, or "p-hat". This is simply the proportion of the sample. So: 

p̂ = 16/93 ~= 0.172 

Hope this helps :)</span>
4 0
3 years ago
Read 2 more answers
What would be the equation to you have a part time job. You work for 3h on Friday and 6h on Saturday. You also recieve an allowa
HACTEHA [7]

Answer:

Step-by-step explanation:

So, to go about your question, we must first ask, how many hours a week is being worked?

In this problem, that is 9 hours per week.

Next, we must question how much per week is made

That is $92 per week

Finally, we must determine if the allowance is occuring many times in the week or just once.

In this problem, that is only occuring once for the week.

So, the equation we must setup is 9x +20 =92.

To solve the equation, we need to subtract 20 on both sides to isolate the variable, x.

9x+20=92

     -20     -20

Now our equation is

9x=72

Now, to finally get x by itself or to isolate x, you should divide 9 on both sides to cancel out the 9 being multiplied by the x.

<u>9x</u>=<u>72</u>

9     9

x=8 because of 72/9 is equal to 8.

I hope this helps, and I will answer any questions you have.

5 0
3 years ago
What is the developed form of 2(3x-10)
vovikov84 [41]
The first step to finding the developed form is to multiply each term in the parenthesis by 2
2 × 3x - 2 × 10
now,, youll need to calculate the product of the first multiplication set
6x - 2 × 10
finally,, multiply the last set of numbers
6x - 20
this means that the correct answer to your question is 6x - 20.
let me know if you have any further questions
:)
6 0
4 years ago
Read 2 more answers
Other questions:
  • Find the Area of the rhombus.<br> Please need help
    7·1 answer
  • What is the GCF of 14 and 49
    5·1 answer
  • The annual Gross Domestic Product (GDP) of a country is the value of all of the goods and services produced in the country durin
    14·1 answer
  • What is the smallest integer greater than the square root of 68?
    14·2 answers
  • plz help 12 points !!! it's l due in a hourPIL Assessment 0 Stephan has a piece of wood that measures 18 inches long and 12 inch
    9·1 answer
  • What causes the phases of the moon? A) The amount of sunlight reflected onto the moon from the sun B) The Moon Earth and Sun are
    8·1 answer
  • Could anyone please help me with this?
    9·1 answer
  • Help on question b ASAP
    7·1 answer
  • Which graph represents this equation?<br><br> y − 4 = -3(x + 5)
    9·1 answer
  • Do the ratios 10:20 and 2:24 form a proportion?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!