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Vikentia [17]
3 years ago
15

ASAP ITS DUE TODAY!

Mathematics
1 answer:
satela [25.4K]3 years ago
5 0

Answer:

She would have to plant 102 more trees.

Step-by-step explanation:

150-48=102

Check: 102+48=150

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System of Linear Equations In Exercises 25–38, solve the system using ei ther Gaussian elimination with back-substitution or Gau
4vir4ik [10]

Hi, you haven't provided the system of linear equations that you need to solve. Therefore, I'll just explain how to use Gauss-Jordan in a system of equations and you can apply the same method to the system of equations you have.

Answer with explanation and step by step solution:

1. For the system of equations:

4X_{1} + 8X_{2}  + 12X_{3}  = 36\\8X_{1} + 10X_{2}  + 12X_{3}  = 48\\4X_{1} + 14X_{2}  + 24X_{3}  = 60\\

2. We can represent it as a matrix by placing every number of the equation as follow:  

\left[\begin{array}{ccccc}4&8&12&|&36\\4&5&6&|&24\\2&7&12&|&30\end{array}\right]

3. As you can see all the coefficients in the equation are divisible by two, so we can express the system of equations as follow:  

 \left[\begin{array}{ccccc}2&4&6&|&18\\4&5&6&|&24\\2&7&12&|&30\end{array}\right]

4. Gauss-Jordan method solves the system of equations by applying simple operations to the Matrix: Multiplication by non-zero numbers, adding a multiple of one row to another and swapping rows.

Step by step solution:  

Divide both sides of equation one by two:

\left[\begin{array}{ccccc}1&2&3&|&9\\4&5&6&|&24\\2&7&12&|&30\end{array}\right]

 

Subtract two times the equation two to the equation three:  

\left[\begin{array}{ccccc}1&2&3&|&9\\4&5&6&|&24\\-6&-3&0&|&-18\end{array}\right]

Divide equation number three by minus three and subtract two times the equation one to equation two:

\left[\begin{array}{ccccc}1&2&3&|&9\\2&1&0&|&6\\2&1&0&|&6\end{array}\right]

 

Subtract the equation two to the equation three:  

\left[\begin{array}{ccccc}1&2&3&|&9\\2&1&0&|&6\\0&0&0&|&0\end{array}\right]

Because now we have two equations for three unknown values X1, X2 and X3 the system has an infinite number of solutions.  

Equivalente system (From matrix to equation notation):  

1X_{1} + 2X_{2}  + 3X_{3}  = 9\\2X_{1} + 1X_{2} = 6\\

Conclusion:  

For whatever system you have you need to convert the system into a matrix notation and using the basic operations, described here, reduce the complexity of the system until:  

You have a solution, you discover that the system has an infinite number of solutions or the system of equation is inconsistent.  

Example of inconsistency

If after making the basic operations to your system you get a result like this

\left[\begin{array}{ccccc}7&0&4&|&9\\2&1&0&|&6\\0&0&0&|&-1\end{array}\right]  

You can say that the system is inconsistent because zero is not equal to minus one.  

Example of solution  

If after making the basic operations to your system you get a result like this

\left[\begin{array}{ccccc}1&0&0&|&9\\0&1&0&|&-6\\0&0&1&|&-1\end{array}\right]

You can say that the system have a solution in which X1 = 9, X2 = -6 and X3 = -1

7 0
2 years ago
Sketch the graph of the equation y=3/8x+5
Murrr4er [49]

Step-by-step explanation:

Start at 5 on the y axis then for the next point go up 3 and 8 to the right

7 0
3 years ago
Penny compared the price of gumdrops at two stores. At Save-More Market, gumdrops are $3.95 per pound. At the Buy-Here Warehouse
Karolina [17]

Answer:

Buy-Here Warehouse has the better deal.

Step-by-step explanation:

divide

$6.50 divided by 2 = $3.25

$3.25 costs less than $3.95 for a pound

3 0
2 years ago
Solve for x. Round your answer to the nearest tenth.
oee [108]

Answer:

i think 120

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
I need help ASAP please
stiv31 [10]

lDK

but friend me on discord, and follow my robIox account, then we will talk.

discord: datboythomas123#8606

robIox: chexmix1202

5 0
3 years ago
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