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slega [8]
3 years ago
10

Solve for x. Show each step of the solution. 2.5(10 – x) + 21 = 84 – 3.5(3x + 20)

Mathematics
1 answer:
vladimir2022 [97]3 years ago
7 0
Solve the first part of the equation
2.5 X 10 = 25
2.5 X - x = - 2.5x
+ 21
which all added together equals - 2.5x + 46

Now for the second part of the equation
- 3.5 X 3x = - 10.5x
- 3.5 X 20 = - 70
+ 84
which all added together gets you - 10.5x + 14

once you have both parts of the two sides solved, you have to start subtracting from each sides
- 2.5x + 46 = -10.5x + 14
- 46 + 46

- 2.5x = -10.5x + 60
-10.5x +10.5x

-13x = 60

60 ÷ -13x

x = -4.61



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Step-by-step explanation:

p =  \frac{25}{40}  \\ p =  \frac{5}{8}

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7 0
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Answer:

W1 =  ( -75, 20, 1 , 0 )

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Step-by-step explanation:

attached  below is the remaining part of the solution

for a homogenous system of equation ; Ax = 0

x1 + 4x2 -5x3 + 3x4 = 0

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we can take x3 = 0 and x4 = 1 , hence ; x2 = -7

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now lets take x3 = 1  and x4 = 0   hence x2 = 20 , x1 = -75

∴ W1 =  ( x1 , x2 , x3, x4 ) = ( -75, 20, 1 , 0 )

7 0
3 years ago
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Answer:

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Step-by-step explanation:

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The other inequality represents the money spent. The total amount is less than $400.

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Step-by-step explanation:

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