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Ksenya-84 [330]
3 years ago
5

Solve the following system. Please show me how you did it.

Mathematics
1 answer:
Andrej [43]3 years ago
4 0

Answer:

x = 3, y = 4 and z = -5.

Step-by-step explanation:

Use the elimination method:

-3x + 2y + z = -6...........(1)

x + 3y + 2z = 5..............(2)

4x + 4y + 3z = 13..........(3)

Multiply the first equation by -2:

6x - 4y - 2z = 12   Add this to equation (2):

7x  - y  = 17...........(4)

Now Multiply equation (2) by 3 and equation (3) by -2

3x + 9y + 6z = 15 ............(5)

-8x - 8y - 6z = -26............(6)   Adding (5) + (6):

-5x + y = -11..........(7)

Now Add (7) and (4):

2x = 6

x = 3.

Now  substitute for x in (4):

7(3) - y = 17

-y = 17 - 21 = -4

y = 4.

Finally substitute for x and y in equation (3) to find z:

4(3) + 4(4)  +3z = 13

3z = 13 - 12 - 16 = -15

z = -5.

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2 years ago
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il63 [147K]

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3 years ago
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bonufazy [111]
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3 years ago
Which linear function represents the line given by the point slope equation y + 7= 2/3(x+6)
Andrews [41]

Hello from MrBillDoesMath!

Answer:   f(x) =   (2/3)*x -3   -- which is not a provided answer..


Discussion:


We are given that y + 7 = (2/3) * (x + 6). Multiply out the right hand side:


y + 7 = (2/3) * x + (2/3) * 6 = (2/3) *x + 12/3

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Subtract 7 from both sides:

y + 7 - 7 = (2/3)*x + 4 - 7

or

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Thank you,

MrB


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