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Setler [38]
3 years ago
7

What is the solution to the system of equations?

Mathematics
1 answer:
Dovator [93]3 years ago
4 0

Answer:

<h2>(-10, 2, 6)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}x+3y+2z=8&(1)\\3x+y+3z=-10&(2)\\-2x-2y-z=10&(3)\end{array}\right\qquad\text{subtract both sides of the equations (1) from (2)}\\\\\underline{-\left\{\begin{array}{ccc}3x+y+3z=-10\\x+3y+2z=8\end{array}\right }\\.\qquad2x-2y+z=-18\qquad(4)\qquad\text{add both sides of the equations (3) and (4)}\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y-z=10\\2x-2y+z=-18\end{array}\right}\\.\qquad-4y=-8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad y=2\qquad\text{put the value of y to (1) and (3)}

\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}

x+2(6)=2\\x+12=2\qquad\text{subtract 10 from both sides}\\x=-10

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Chelsea records the number of quarts of water she gives her garden over 444 days. She rounds the measurements to the nearest \df
geniusboy [140]

Answer:

33

Step-by-step explanation:

Total=7

8

4

​

+7

8

4

​

+8

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​

+9

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2

​

start text, T, o, t, a, l, end text, equals, 7, start fraction, 4, divided by, 8, end fraction, plus, 7, start fraction, 4, divided by, 8, end fraction, plus, 8, start fraction, 6, divided by, 8, end fraction, plus, 9, start fraction, 2, divided by, 8, end fraction

Hint #22 / 3

Let's add the whole numbers then add the fractions.

\begin{aligned} \text{Total}&=(7+7+8+9)+\left(\dfrac{4}{8}+\dfrac{4}{8} +\dfrac{6}{8}+\dfrac{2}{8}\right)\\\\ &= 31+\dfrac{16}{8}\\\\ &=31+2\\\\ &=33 \end{aligned}

Total

​

 

=(7+7+8+9)+(

8

4

​

+

8

4

​

+

8

6

​

+

8

2

​

)

=31+

8

16

​

=31+2

=33

​

Hint #33 / 3

Chelsea used 33 quarts of water on her garden.

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2 years ago
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