All categories

3 years ago

Solve the following systems of 3-variable linear equations.50 points

Mathematics

1 answer:

Natali [406]3 years ago

7 0

Answer:

x = 9/25

y = 7/25

z = 4/25

Step-by-step explanation:

2x + y = 1 .......(1)

3y + z = 1 ........(2)

x + 4z = 1 ........(3)

Elimination 1 and 2

2x + y = 1 | ×3 |

3y + z = 1 | ×1 |

6x + 3y = 3

3y + z = 1

___________--

6x - z = 2 .............. (4)

Elimination 3 and 4

x + 4z = 1 | ×6 |

6x - z = 2 | ×1 |

6x + 24z = 6

6x - z = 2

___________--

25z = 4

z = 4/25

Elimination 3 and 4

x + 4z = 1 | ×1 |

6x - z = 2 | ×4 |

x + 4z = 1

24x - 4z = 8

___________+

25x = 9

x = 9/25

Subsitution 1

2x + y = 1

2(9/25) + y = 1

18/25 + y = 1

y = 1 - 18/25

y = 25/25 - 18/25

y = 7/25

You might be interested in

Mohamed and Li Jing were asked to find an explicit formula for the sequence -5, -25, -125, -625,....

Nuetrik [128]

Answer:

Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

Step-by-step explanation:

Considering the sequence

$-5,\:-25,\:-125,\:-625,...$

A geometric sequence has a constant ratio r and is defined by

$g_n=g_0\cdot r^{n-1}$

$\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{g_{n+1}}{g_n}$

$\frac{-25}{-5}=5,\:\quad \frac{-125}{-25}=5,\:\quad \frac{-625}{-125}=5$

$\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}$

$r=5$

So, the sequence is geometric.

$\mathrm{The\:first\:element\:of\:the\:sequence\:is}$

$g_1=-5$

$r=5$

$g_n=g_1\cdot r^{n-1}$

$\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:$

$g_n=-5\cdot \:5^{n-1}$

Therefore, Li Jing's formula i.e. $\boxed{g_n=-5\cdot \:5^{n-1}}$ is right.

8 0

4 years ago

+23+-26 RESPUESTA PORFIS

den301095 [7]

Answer:

-3

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

7 times as much as the sum of 1/3 and 4/5

Anika [276]

The correct answer should 1.1333

5 0

3 years ago

Read 2 more answers

4125 x 10 to the 3rd power

Kobotan [32]

In standard form, it would look like this:

4125 * 1000

This would be 4,125,000

4 0

3 years ago

Read 2 more answers

For the following rectangular prism, drag and drop the steps needed to find the volume in the correct order. Then type the volum

Kamila [148]

Answer:

Volume = 100 $in^{3}$

Step-by-step explanation:

Volume, V= Bh

length = 10 inches

width = 5 inches

height = 2 inches

So that,

B = 5(10)

= 50 $in^{2}$

B = 50 $in^{2}$

Then,

V = (50)(2)

= 100

v = 100 $in^{3}$

5 0

3 years ago

Solve the following systems of 3-variable linear equations.​50 points

Solve the following systems of 3-variable linear equations.50 points