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emmainna [20.7K]
3 years ago
7

-5x-4y=2a 4x-5y=2 which of the following choices of A will results in a system of linear equations with exactly one solution​

Mathematics
1 answer:
hjlf3 years ago
4 0

Answer:

<h3>            Any of them.</h3><h2>          a ∈ R</h2>

Step-by-step explanation:

-5x - 4y = 2a                         4x - 5y = 2

-4y = 5x + 2a                        -5y = -4x + 2

y = (5x + 2a):(-4)                    y = (-4x + 2):(-5)

y = -⁵/₄x - ¹/₂a                           y = ⁴/₅x - ²/₅

m₁ = -⁵/₄,  b₁ = -¹/₂a                  m₂=⁴/₅,  b₂= -²/₅

               -⁵/₄ ≠ ⁴/₅

Different slopes means that two lines have one point of intercept (no mater what the b's are). That means that the system of linear equations has exactly one solution for any value of a.

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natima [27]

Answer:

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8 0
3 years ago
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Brilliant_brown [7]
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3 years ago
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Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x becaus
Iteru [2.4K]
<span>solve the equation ax – c = bx + d for x:

1) Group the x terms together on the left:     ax - bx - c = d

2) Group the constant terms together:          ax - bx = c + d

3) factor out x:                                             x(a - b) = c + d

4) Divide both sides of the equation by (a - b) to obtain a formula for x:
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</span>           x(a - b) = c + d   =>    x = ---------
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Where is Victoria's solution?  Please share it if you want to discuss this problem further.  Thank you.

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Answer:

10

Step-by-step explanation:

5+5=10

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