Kaylavaughn3611 Kaylavaughn3611
  • 04-07-2019
  • Mathematics
contestada

In the following question, a is a real number. Question: what choice of a would yield a system of linear equations with NO solutions?

9x-14y=-3

2x-ay=-6

Respuesta :

windyyork windyyork
  • 09-07-2019

Answer: The value of a should be 3.11.

Step-by-step explanation:

Since we have given that

[tex]9x-14y=-3\\\\2x-ay=-6[/tex]

We need to find the value of a so that it would yield a system of linear equations with NO solutions.

As we know the condition of no solutions, it means the lines should be parallel.

i.e.

[tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq \dfrac{c_1}{c_2}[/tex]

Consider the first two terms:

[tex]\dfrac{9}{2}=\dfrac{-14}{-a}\\\\a=\dfrac{2\times 14}{9}\\\\a=3.11[/tex]

So, the value of a should be 3.11.

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