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Verdich [7]
3 years ago
12

Jessica is solving the equation 5x - 2(x-1) = 10.

Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0

Answer:

Subtraction Property of Equality

Step-by-step explanation:

5x-2x+2=10

3x+2=10

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Use the augmented matrix method to solve the following system of equations. Your answers may be given as decimals or fractions.
Alexandra [31]

Answer:

x\ =\ \dfrac{21}{5}

y\ =\ \dfrac{3}{5}

z = 2

Step-by-step explanation:

Given equations are

x - 2y - z = 2

x + 3y - 2z = 4

-x + 2y + 3z = 2

from the given equations the augmented matrix can be written as

\left[\begin{array}{ccc}1&-2&-1:2\\1&3&-2:4\\-1&2&3:2\end{array}\right]

R_2=>R_2-R_1\ and\ R_3=>R_3+R_1

=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&5&-1:2\\0&0&2:4\end{array}\right]

R_2=>\dfrac{R_2}{5}

=\ \left[\begin{array}{ccc}1&-2&-1:2\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\0&0&2:4\end{array}\right]

R_1=>R_1+2.R_2

=\ \left[\begin{array}{ccc}1&0&-1-\dfrac{2}{5}:2+\dfrac{4}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]

=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&2:4\end{array}\right]

R_3=>\dfrac{R_3}{2}

=\ \left[\begin{array}{ccc}1&0&\dfrac{-7}{5}:\dfrac{14}{5}\\\\0&1&\dfrac{-1}{5}:\dfrac{2}{5}\\\\0&0&1:2\end{array}\right]

R_1=>R_1+\dfrac{7}{5}R_3\ and\ R_2+\dfrac{1}{5}R_3

=\ \left[\begin{array}{ccc}1&0&0:\dfrac{14}{5}+\dfrac{7}{5}\\\\0&1&0:\dfrac{2}{5}+\dfrac{1}{5}\\\\0&0&1:2\end{array}\right]

So, from the above augmented matrix, we can write

x\ =\ \dfrac{21}{5}

y\ =\ \dfrac{3}{5}

z = 2

7 0
3 years ago
I need a word problem using identity property of addition.
Eduardwww [97]
Sally ate 5 banana's she got 5 more later how much does she have together
5 0
3 years ago
<img src="https://tex.z-dn.net/?f=%7B%5Chuge%7B%5Cboxed%7B%7B%5Cgreen%7B1%20%7B%7D%5E%7B2%7D%20%20%2B%203%20%7B%7D%5E%7B2%7D%20%
Mnenie [13.5K]

\huge \boxed{Answer \hookleftarrow}

=》1² + 3²

=》1 + 9

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Si pedro tiene un saldo de -1285 y paga 750. Cual es su nuevo saldo?<br> Con procedimiento por favor
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Please help me, im not gonna beg, I just really need help? k?
kupik [55]

For the unit rate, you are looking for how much one unit of something costs. Looking at the table, you'll see that 3 bottles of fragrance A costs $78. What you want to figure out is how much one bottle costs.

You can do this by taking the price and dividing it by how many there are.

78 ÷ 3 = $26

156 ÷ 6 = $26

234 ÷ 9 = $26

You can see that each bottle of fragrance A costs $26.

Now looking at the graph, you'll see that the line only lines up perfectly at 2 points: (1, 24) and (2, 48). This tells us that for each bottle of fragrance B, it costs $24.

Comparing the two, fragrance A will have the greatest unit rate.

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