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erma4kov [3.2K]
2 years ago
11

Use either Gaussian elimination or Gauss-Jordan elimination to solve the given system or show that no solution exists. (If there

is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, use t for the parameter.) x1 + x2 + x3 = 0 x1 + x2 + 9x3 = 0
Mathematics
1 answer:
True [87]2 years ago
5 0

Answer:

x1 = t, x2 = -t and x3 = 0

Step-by-step explanation:

Given the system of equation

x1 + x2 + x3 = 0 .... 1

x1 + x2 + 9x3 = 0 .... 2

Subtract both equation

x3 - 9x3 = 0

-8x3 = 0

x3 = 0

Substitute x3 = 0 into equation 1

x1 + x2 + 0 = 0

x1+x2 = 0

x1 = -x2

Let t = x1

t = -x2

x2 = -t

Hence x1 = t, x2 = -t and x3 = 0

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Passing through (-2,-6) and parallel to the line whose equation is y=-3x+4
Licemer1 [7]

Answer:

y = -3x - 12

Step-by-step explanation:

Lines that are parallel have the same gradient.

Therefore using the point (-2,-6) you can make your own equation.

-6 will be y, -2 will be x

All you have to do is find the y-intercept which is C in <em>y</em><em>=</em><em>mx</em><em>+</em><em>c</em>

-6 = -3(-2) + c

-6 = 6 + c

-12 = c

Therefore;

<u>y = -3x - 12</u>

6 0
2 years ago
Systems of equations.<br><br> Y= -3x+1<br> Y=x-3 How do i start it
Anvisha [2.4K]
You can set both equations together

y = -3x + 1

and y = x - 3

we can replace the y of one equation with the other side 

-3x+1 = x-3

add 3x on both sides

1 = x + 3x -3
add 3 on both sides

1 + 3 = x+ 3x

simplify

4 = 4x

divide by 4 on both sides

x = 1

y = x - 3
y = 1 - 3
y = 2

So the solution is: (1,2)
4 0
3 years ago
What is the area of the polygon given below?
almond37 [142]

Answer:

diện tích đa giác trong hình là :

186 cm2

Step-by-step explanation:

hãy tách hình đa giác trên thành 4 hình chữ nhật và tính diện tích từng hình chữ nhật

4 0
3 years ago
Students collected 150 cans for a food drive. there were 23 cans of corn, 48 cans of beans, and 12 cans of tomato sauce. if a st
forsale [732]

Hello!

\bf Answer:

The probability that the can will be either tomato sauce or beans is \bf \frac{2}{5}.

___________________________________________________

\bf Explanation:

To find the probability of he possible outcomes, we must add them together and find the least common denominator.

\frac{12}{150} + \frac{48}{150} = \frac{60}{150}

Divide the numerator and the denominator by 30:

\frac{60}{150} = \frac{2}{5}

7 0
3 years ago
Given the set of numbers: {3, 8, 2, 2, 5} Find the mean. Enter your answer as a whole number with zero decimal places.
lisov135 [29]

Answer:

4

Step-by-step explanation:

The mean is defined as adding all the numbers up and dividing by how many numbers there are, so:

3+8+2+2+5 = 20, 20/5 = 4

8 0
3 years ago
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