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
const2013 [10]
3 years ago
13

Find solution to the system of linear equations. 3x1 + 6x2 = 2 , 9x1 + 12x2 = 1

Mathematics
1 answer:
iogann1982 [59]3 years ago
6 0

Answer:

x₁ = -1

x₂ = 5/6

Step-by-step explanation:

The equations of the given linear system are:

3x_1 +6x_2=2\\9x_1 +12x_2 = 1

Multiply the first equation by -2 and add it to the second one to solve for x₁:

-6x_1 -12x_2=-4\\9x_1 +12x_2 +(-6x_1 -12x_2)= 1-4\\3x_1=-3\\x_1=-1

Since we already know the value of x₁, simply replace it in the first equation  to solve for x₂:

3x_1 +6x_2=2\\x_2=\frac{2+3}{6} =\frac{5}{6}

The solution for the system is x₁ = -1 and x₂ = 5/6

You might be interested in
SOLVE for x. log3 8 = x
Setler [38]
You are trying so solve
<span><span>3^x</span>=8</span>
and since 8 is not an integral power of x you need a calculator.
it is <span><span>ln(8)/</span><span>ln(3)</span></span>
or
<span><span><span>log(8)/</span><span>log(3)</span></span></span>
5 0
3 years ago
Find the 10th term in a sequence whose general term is an = n2 – 8. Question 7 options: A) 92 B) 108 C) 12 D) 113
Leto [7]

Answer:

10th term means  n = 10

we have general term = n² -8

substituting the value of n we get

10² - 8 = 100-8 =92

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
How to find the radius of a circle when given two points?
enyata [817]
With the diameter..
4 0
3 years ago
Read 2 more answers
PLEASE HELP ME FOR BRAINLIEST ANSWER An architect designs a rectangular flower garden such that the width is exactly​ two-thirds
Oksanka [162]

Answer:

Length: 84 ft

Width: 56 ft

Step-by-step explanation:

Let's define some variables first.

Call the length l and width w.

We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.

Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.

Remember the formula for perimeter of a rectangle: 2l + 2w

Let's substitute 2/3l for w:

2l + 2*2/3l = P

2l + 4/3l = 280

2 4/3l = 280

10/3l = 280

l = 84

Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.

84*2/3 = 56

Length: 84 ft

Width: 56 ft

Let's plug these values into the formula and see if they give us the correct perimeter:

2l + 2w = P

2*84 + 2*56 = P

168 + 112

= 280 feet

These are the correct dimensions!  

Hope this helps! You can reach out to me if you have further questions or concerns! :)

6 0
3 years ago
Answer to this question please
fredd [130]

Answer:

Volume is 21

Explanation

Base length is 4.5

Widgth is 3.5

and height is 4 (I can't tell if its 2 because picture is blurry)

V=lwh/3=4.5·3.5·4= 21

8 0
2 years ago
Other questions:
  • Find k so that the distance from (–1, 1) to (2, k) is 5 units.
    13·1 answer
  • Factor-20x2 + 13x + 21.<br> How do you solve this
    5·1 answer
  • A function is created to represent the amount of texts sent each month. What restrictions would be made to the range?. The range
    9·1 answer
  • In a sport competition Alyssa was penalized -16 points in each of the 4 events how many points was she penalized in each event?
    10·1 answer
  • Find the average height of the building shown in the table 1.667 1.483 1.483 1.451 1.381
    8·2 answers
  • 5 for every $2.50 10 for every ?​
    7·1 answer
  • Which of the following statements would not translate to the equation 14 ÷ x = -7?
    11·1 answer
  • A company charges a shipping fee that is 6.5% of the purchase price for all items it ships. What is the fee to ship an item that
    9·1 answer
  • Math i will give a lot of points <br><br> −5 1/2 −2 1/3
    15·1 answer
  • Have someone who can can help me with this I need help
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!