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STatiana [176]
3 years ago
13

What is the solution to this equation?

Mathematics
1 answer:
Sveta_85 [38]3 years ago
4 0

Answer:

A. x=20

Step-by-step explanation:

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solve the system of equations by finding the reduced row-echelon form of the augmented matrix for the system of equations. x-2y+
Alekssandra [29.7K]

Answer:

x = -5, y = -6, z = -3

Step-by-step explanation:

Given the system of three equations:

\left\{\begin{array}{l}x-2y+3z=-2\\6x+2y+2z=-48\\x+4y+3z=-38\end{array}\right.

Write the augmented matrix for the system of equations

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)

Find the reduced row-echelon form of the augmented matrix for the system of equations:

\left(\begin{array}{ccccc}1&-2&3&|&-2\\6&2&2&|&-48\\1&4&3&|&-38\end{array}\right)\sim \left(\begin{array}{ccccc}1&-2&3&|&-2\\0&-14&16&|&36\\0&-6&0&|&36\end{array}\right)\sim \left(\begin{array}{ccccc}1&3&-2&|&-2\\0&16&-14&|&36\\0&0&-6&|&36\end{array}\right)

Thus, the system of three equations is

\left\{\begin{array}{r}x+3z-2y=-2\\16z-14y=36\\-6y=36\end{array}\right.

From the last equation:

y=-6

Substitute it into the second equation:

16z-14\cdot (-6)=36\\ \\16z=36-84\\ \\16z=-48\\ \\z=-3

Substitute y = -6 and z = -3 into the first equation:

x+3\cdot (-3)-2\cdot (-6)=-2\\ \\x=-2+9-12\\ \\x=-5

7 0
3 years ago
What is the slope of this line?
nataly862011 [7]

Answer: -\frac{8}{5}

Remember: RISE/RUN (y/x). Lines that are increasing have a positive slope, and lines that are decreasing have a negative slope.

You can find the slope in two ways:

1. Useful if the line is graphed: count the units between 2 points on the line.

  • Let's use the points (-1, 4) and (4, -4).
  • (-1, 4) is 8 units higher than (4, -4) and 5 units to the left of (4, -4).
  • Because the line is decreasing, the slope is negative.
  • Therefore, the slope is -\frac{8}{5}.

2. Useful if the line is not graphed: find the difference between the y-coordinate values divided by the difference of the x-coordinate values.

  • Let's use the points (-1, 4) and (4, -4).
  • \frac{-4 - 4}{4 - (-1)} = \frac{-8}{5}
  • Therefore, the slope is -\frac{8}{5}.
4 0
4 years ago
Read 2 more answers
Find the degree of each monomial.
eimsori [14]

Answer:

1. 3rd degree

2. No degree

3. First degree

4. 8th degree

Step-by-step explanation:

Hope this helps!

5 0
3 years ago
Simplify using the horizontal method.
ivolga24 [154]
(2n2 + 4n + 4)(4n – 5)
= 8n^3 + 16n^2 +16n -10n^2 - 20n - 20
= 8n^3 +6n^2 -4n - 20

answer is d. 
8n3 + 6n2 – 4n – 20
8 0
4 years ago
If 12 and 20 each divide K without a remainder, what is the value of K?
Juli2301 [7.4K]

Factors of 12 : 1, 2, 3, 4, 6, 12

Factors of 20: 1, 2, 4, 5, 10, 20

In both lists of factors, 4 is in common. Therefore, the value of K is 4 because it can divide into both 12 and 20 without a remainder. 2 is also another possible value of K.

4 0
4 years ago
Read 2 more answers
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