happyunicorn933
Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

-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​

Sagot :

unicorn3125

Answer:

           Any of them.

         a ∈ R

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.

We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.