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Lerok [7]
4 years ago
7

Solve the system of equations below x-2y=3 2y-3y=9

Mathematics
1 answer:
Crank4 years ago
6 0
First you solve 2y-3y=9.
2y - 3y = 9 \\ subtract \: 2y \: and \: 3y \\  - y = 9 \\  divide \: by \:  - 1 \\ y =  - 9
Now that you have y, then you substitute y into x-2y=3 to find X

x - 2( - 9) = 3 \\ multiply \:  - 9 \times  - 2 \\ x + 18 = 3 \\ subtract \: 18 \: on \: both \: sides \\ x =  - 15
Your solution is (-15, -9)
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Help again and thanks..........
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Answer:

  • a = $8
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Step-by-step explanation:

When the coefficients don't lend themselves to solution by substitution or elimination, then Cramer's Rule can be useful. It tells you the solutions to

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  • dx +ey = f

are ...

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  • y = (cd -fa)/∆

Using that rule here, we find ...

  ∆ = 5·3 -6·2 = 3

  a = (5·54 -6·41)/3 = 5·18 -2·41 = 90 -82 = 8

  s = (41·3 -54·2)/3 = 41 -18·2 = 5

This math can be performed in your head, which is the intent of formulating the rule in this way.

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Similarly, if you expect the solutions to be small integers (as here), then graphing is another viable solution method.

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<em>Comment on the question</em>

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A sequence is defined recursively using the formula f(n + 1) = -0.5f(n). If the first term of the sequence is 120, what is f(5)?
PolarNik [594]

Answer: 7.5

Step-by-step explanation:

The given formula tells us that the next term f(n+1) of the sequence is -0.5 times the previous term f(n)

First term of the sequence is f(1) = 120

Second term of the sequence is f(2) = f(1+1) = -0.5 f(1) = -0.5 (120) = -60

Third term of the sequence is f(3) = f(2+1) = -0.5 f(2) = -0.5 (-60) = 30

Fourth term of the sequence is f(4) = f(3+1) = -0.5 f(3) = -0.5 (30) = -15

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4 years ago
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2/3+1/4

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