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boyakko [2]
1 year ago
11

3. Solve the system using elimination (not substitution or matrices). negative 2 x plus y minus 2 z equals negative 8A N D7 x pl

us y plus z equals negative 1A N D5 x plus 2 y minus z equals negative 91. If the system has a single solution, write the solution as an ordered triple, (x, y, z).2. If the system has infinite solutions, write the solutions IN TERMS OF z.The solution should look something like left parenthesis 3 minus 3 z comma space minus 1 plus 7 z comma space z right parenthesis but not like left parenthesis negative 6 plus 3 y comma space y comma space 2 minus 5 y right parenthesis or not like left parenthesis x comma space 3 plus 5 x comma space minus 1 plus 4 x right parenthesis. None of these are the solution, they are just examples of what the answer could look like and not look like.
Mathematics
1 answer:
riadik2000 [5.3K]1 year ago
8 0

Elimination Method

\begin{gathered} -2X+Y-2Z=-8 \\ 7X+Y+Z=-1 \\ 5X+2Y-Z=-9 \end{gathered}

If we multiply the equation 3 by (-1) we obtain this:

\begin{gathered} -2X+Y-2Z=-8 \\ 7X+Y+Z=-1 \\ -5X-2Y+Z=9 \end{gathered}

If we add them we obtain 0, therefore there are infinite solutions. So, let's write it in terms of Z

1. Using the 3rd equation we can obtain X(Y,Z)

\begin{gathered} 5X=-9-2Y+Z \\ X=\frac{-9-2Y+Z}{5} \\  \end{gathered}

2. We can replace this value of X in the 1st and 2nd equations

\begin{gathered} -2\cdot(\frac{-9-2Y+Z}{5})+Y-2Z=-8 \\ 7\cdot(\frac{-9-2Y+Z}{5})+Y+Z=-1 \end{gathered}

3. If we simplify:

\begin{gathered} \frac{-9Y+12Z-63}{5}=-1 \\ \frac{9Y-12Z+18}{5}=-8 \end{gathered}

4. We can obtain Y from this two equations:

\begin{gathered} Y=-\frac{-12Z+58}{9} \\  \end{gathered}

5. Now, we need to obtain X(Z). We can replace Y in X(Y,Z)

\begin{gathered} X=\frac{-9-2Y+Z}{5} \\ X=\frac{-9-2(-\frac{-12Z+58}{9})+Z}{5} \end{gathered}

6. If we simplify, we obtain:

X=\frac{-3Z+7}{9}

7. In conclusion, we obtain that

(X,Y,Z) =

(\frac{-3Z+7}{9},-\frac{-12Z+58}{9},Z)

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average speed of hiker is 2.4 mph

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here is the solution : -

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speed =  \frac{distance}{time}

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speed =  \frac{1.8}{0.75}

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3 years ago
J = x*2 − 0.49
AVprozaik [17]

According to the given information the result: m < k < j

The correct option is E.

<h3>What is  negative integer?</h3>

A number with a minus (-) sign before it is said to be negative if its value is always less than zero. The left side of zero on a number line is where negative numbers are displayed. A couple more negative values include -6 and -15.

<h3>According to the given information:</h3>

Given that x is a negative integer, j must be positive because the least negative number, which is k, yields a negative number when squared. Also negative will be m.

J has the largest value, as far as we are aware.

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7 0
1 year ago
The ordered pairs (1, 3), (2, 9), (3, 27), and (4, 81) represent a function. Write a rule that represents this function.
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The population of bald eagles in Forest National Park is declining at a rate of 14% per year. The following expression represent
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We know that the population is declining at a rate of 14% per year.

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b. ( .99 ) ^ x/12


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