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ziro4ka [17]
3 years ago
13

Solve the systems of equations 2x+2y+6z=8 5x+6y+5z =3 5x+6y+3z=3

Mathematics
1 answer:
vlabodo [156]3 years ago
4 0

Answer:

x=21\\y=-17\\z=0

Step-by-step explanation:

Multiply the second equation by -1:

(-1)5x+6y+5z=3(-1)\\-5x-6y-5z=-3

Add this equation and the third equation and solve for "z":

\left \{ {{-5x-6y-5z=-3} \atop {5x+6y+3z=3}} \right.\\.........................\\-2z=0\\z=0

Substitute z=0 into two original equations:

2x+2y+6(0)=8

2x+2y=8        [Equation A]

5x+6y+5(0)=3  

5x+6y=3       [Equation B]

Multiply the Equation A by -3, add both equations and then solve for "x":

\left \{ {{-6x-6y=-24} \atop {5x+6y=3}} \right.\\.....................\\-x=-21\\x=21

Substitute x=21 into the Equation A or the Equation B and solve for "y":

2(21)+2y=8\\\\42+2y=8\\\\2y=8-42\\\\2y=-34\\\\y=\frac{-34}{2}\\\\y=-17

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Step-by-step explanation:

3(-16)+3= -45

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-9

5(-16)-1=-81

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4 0
3 years ago
Select all values of x that make the inequality -x + 8 ≥11 true.
mash [69]

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Hope this helps! ;)

8 0
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Which transformations would result in a geometric figure that is exactly the
kifflom [539]

Answer:

B, C and D

Step-by-step explanation:

dilation is the only transformation that affects the size of the shape, and no transformations affect the shape of the figure.

6 0
3 years ago
Please answer I'm giving out a thanks, follow, and a brainliest.
Sveta_85 [38]

The mode of a set of numbers is the number that occurs the most.

The numbers in this set are as follows,

26, 17, 9, 12, 18, 21, 9, 14, 18, 23, 15, 7, 20, 18, 17, and 12

26 I

17 II

9 II

12 II

18 III

21 I

14 I

23 I

15 I

7 I

20 I

The number that appears the most is 18!

So the mode of the set of numbers is 18!



3 0
3 years ago
Read 2 more answers
36in rounded to the nearest tenth for circumference
WITCHER [35]

Answer: Remember that the tens place is two moves to the left of the decimal point (if it exists). To round to the nearest ten (nearest 10), we use the whole numbers place to determine whether the tens place rounds up or stays the same.

Solution steps:

Step 1: Locate and underline the tens place () and look to digit to the right (6):

36

Step 2: In this case, the digit to the right 6 is 5 or above. So, we add 1 to the tens place (). The digit(s) after the (6) are dropped. Thus, we get 40 as answer.

In short: 36 rounded to the nearest tens is 40.

Step-by-step explanation:

8 0
2 years ago
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