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3 years ago

PLEASE HELP

Mathematics

1 answer:

svetoff [14.1K]3 years ago

6 0

Y= -3x -5 should be the answer

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Solve the system of equations by finding the reduced row echelon form of the augmented matrix. Write the solutions for x and y i

Gwar [14]

Answer:

The solutions for the given system of equations are:

$\left \{ {{x=-5} \atop {y=12-4z}} \right.$

Step-by-step explanation:

Given the equation system:

$\left \{ {{3x+y+4z=-3} \atop {-x+y+4z=17}} \right.$

We obtain the following matrix:

$\left[\begin{array}{cccc}3&1&4&-3\\-1&1&4&17\end{array}\right]$

Step 1: Multiply the fisrt row by 1/3.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\-1&1&4&17\end{array}\right]$

Step 2: Sum the first row and the second row.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&\frac{4}{3} &\frac{16}{3}&16\end{array}\right]$

Step 3: Multiply the second row by 3/4.

$\left[\begin{array}{cccc}1&\frac{1}{3} &\frac{4}{3}&-1\\0&1 &4&12\end{array}\right]$

Step 4: Multiply the second row by -1/3 and sum the the first row.

$\left[\begin{array}{cccc}1&0 &0&-5\\0&1 &4&12\end{array}\right]$

The result of the reduced matrix is:

$\left \{ {{x=-5} \atop {y+4z=12}} \right.$

This is equal to:

$\left \{ {{x=-5} \atop {y=12-4z}} \right.$

These are the solutions for the system of equations in terms of z, where z can be any number.

6 0

3 years ago

Enter the value that is missing

masha68 [24]

I think it’s 15.75. Because: 2•1.05=2.10. 5•1.05= 5.25. 20•1.05= 21.00. So, 15•1.05= 15.75.

3 0

3 years ago

Keith earns $42.00 in 3 hours. How much would he earn in 10 hours? A. $135.00 B. $140.00 C. $84.00 D. $112.00

xeze [42]

The answer is B. $140

7 0

3 years ago

Read 2 more answers

Please help! Explain to me how you found your answer.

Katena32 [7]

Step-by-step explanation:

Sin: 2 square root 3: 4

Cos: 2:4

Tan: 2 square root 3: 2

6 0

3 years ago

Read 2 more answers

an elevator can carry 800 of weight. A football player weighting 280 pounds gets on the elevator with a student. Write and solve

Nesterboy [21]

Answer:

$425\geq x$

425 pounds or less can be added after the student and football player.

Step-by-step explanation:

let x = remaining weight

(note that >/= is greater than or equal to.)

800 - 280 - 95 >/= x

425 >/= x

8 0

3 years ago