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ElenaW [278]
3 years ago
11

Solve the system of equations using any method. 2X – Y + Z = – 2, 6X + 3Y – 4Z = 8, – 3X + 2Y +3Z = – 6

Mathematics
1 answer:
krok68 [10]3 years ago
6 0

Answer:

Z = - 2, Y = 0, X = 0

Step-by-step explanation:

2X – Y + Z = – 2

6X + 3Y – 4Z = 8

– 3X + 2Y +3Z = – 6

isolate "X" in the first equation

2X - Y + Z = - 2 => isolate "2X"

2X = - 2 - Z + Y => divide either side by 2

X = - 1 - Z/2 + Y/2

substitute this value of X in the second two equations (applying the substitution method here)

6(- 1 - Z/2 + Y/2) + 3Y - 4Z = 8,

6Y - 7Z - 6 = 8

- 3(- 1 - Z/2 + Y/2) + 2Y +3Z = - 6,

Y + 9Z + 6/2 = - 6

isolate Y in the second equation (6Y - 7Z - 6 = 8) and substitute in the third equation (Y + 9Z + 6/2 = - 6)

6Y - 7Z - 6 = 8 => isolate 6Y

6Y = 14 + 7Z => divide either side by 6

Y = 7Z + 14/6 => substitute in second equation

7Z + 14/6 + 9Z + 6/2 = - 6 => solve for Z

61Z + 50/12 = - 6, Z = - 2

substitute the value of Z into the equations "Y = 7Z + 14/6" and using the value of Y and Z, substitute into "X = - 1 - Z/2 + Y/2"

Y = (7(- 2) + 14)/6 = 0 / 6

= 0

X = - 1 - (- 2)/2 + 0/2 = - 1 - (-1) + 0

= - 1 + 1 + 0 = 0

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irakobra [83]

Answer:

No solutions.

Step-by-step explanation:

If you normalize the second one by dividing by 2, you get:

y = 5/2x+4.

Now you see that both have the same slope (5/2). They are parallel lines that never intersect.

7 0
3 years ago
Find the length of the arc in red shown below
Svetllana [295]

Answer:

3.92699

Step-by-step explanation:

3.92699

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6 0
3 years ago
nancy started the year with $425 in the bank and is saving $25 a week. Seamus started the year with $875 and is spending $15 a w
Goryan [66]

They will have same amount in 45 weeks.

Step-by-step explanation:

Given,

Starting amount of Nancy = $425

Per week saving = $25

Let,

x represent the number of weeks.

N(x) = 25x+425

Starting amount of Seamus = $875

Per week saving = $15

S(x) = 15x+875

For same amount;

N(x) = S(x)

25x+425=15x=875\\25x-15x=875-425\\10x=450

Dividing both sides by 10

\frac{10x}{10}=\frac{450}{10}\\x=45

They will have same amount in 45 weeks.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/9738996
  • brainly.com/question/9729310

#LearnwithBrainly

3 0
3 years ago
Kaylee found the surface area, in square inches of a rectangular prism by using formula. 2(5×3)+2(5×8)+2(3×8) What is the surfac
sladkih [1.3K]

Answer:

158

Step-by-step explanation:

Simplify the following:

2×5×3 + 2×5×8 + 2×3×8

5×3 = 15:

2×15 + 2×5×8 + 2×3×8

5×8 = 40:

2×15 + 2×40 + 2×3×8

3×8 = 24:

2×15 + 2×40 + 2×24

2×15 = 30:

30 + 2×40 + 2×24

2×40 = 80:

30 + 80 + 2×24

2×24 = 48:

30 + 80 + 48

| 8 | 0

| 4 | 8

+ | 3 | 0

1 | 5 | 8:

Answer:  158

6 0
3 years ago
Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar i
Phoenix [80]

Determine whether the value is from a discrete or continuous data set. Number of coins in a jar is 78 number of coins in a jar is 78

Answer: Number of coins in a jar is from a discrete data set. Because the given variable is countable in a finite amount of time.

If a variable can take on any value between two specified values, it is called a continuous variable; otherwise, it is called a discrete variable.


3 0
3 years ago
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