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Ber [7]
3 years ago
14

Solve the system by substitution. − x − y − z = − 8 − 4 x + 4 y + 5 z = 7 2 x + 2 z = 4

Mathematics
1 answer:
LekaFEV [45]3 years ago
7 0

Answer:

The answer to your question is:

x = 3

y = 6

z = - 1

Step-by-step explanation:

                                              - x - y - z = - 8      (I)

                                         - 4x + 4y + 5z = 7     (II)

                                                   2x + 2z = 4     (III)

                                                   2z = 4 - 2x

                                                     z = 2 - x       (IIIA)

Substitute IIIA in I

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

Substitute IIIA and y in II

                                         - 4x + 4(6) + 5(2 - x) = 7  

                                           -4x + 24 + 10 - 5x = 7

                                          -9x = 7 -34

                                          -9x = -27

                                          x = 3

Substitute x in IIIA

                                                z = 2 - 3

                                                z = - 1                    

                                     

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Identify the value of y<br><br><br> (3y+5)=-4-8y+9+77
noname [10]

Answer:

Y=7

Step-by-step explanation:

(3y+5)= -4 -8y +9 + 77

     -5    -5            

    3y= -9 - 8y + 9 + 77

           +9          -9

    3y=  -8y + 77

    +8y    +8y

      11y = 77

      11y/11    77/11

        y = 7

1. subtract 5 from both sides

2. add -9 and +9 and you get 0

3. add 8y to both sides

4. divide both sides by 11

5. you get y=7

3 0
3 years ago
Would appreciate it, if anyone could help with this.
Tema [17]
Since they are intersecting lines, you would equal them to each other.
(5x+4)= (8x-71)
-8x. -8x
-3x + 4 = -71
- 4. -4
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6 0
3 years ago
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Direction: Determine whether the given point is a solution to the given system of linear inequalities.
Ann [662]

Answer:

The given point is a solution to the given system of inequalities.

Step-by-step explanation:

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Plugging these values into the first inequality, y\leq x+3, gives us 2\leq 3+3, which simplifies to 2\leq 6. This is a true statement, so the given point satisfies the first inequality. We still need to check if it satisfies the second inequality though, because if it doesn't, it won't be a solution to the system.

Plugging the coordinates into the second inequality, y\geq -x+3, gives us 2\geq -3+3, which simplifies to 2\geq 0. This is also a true statement, so the given point satisfies the second inequality as well. Therefore, \bold(\bold3\bold,\bold2\bold) is a solution to the given system of inequalities since it satisfies all of the inequalities in the system. Hope this helps!

8 0
3 years ago
The base of a triangle measures (3x − 6) units and the height measures (2x + 4) units.
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Answer With Step-by-step explanation:

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