oliviaclerk5

25.10.2021 • 

Mathematics

Consider the equation as shown: (x-a)(y-b) = (x-2a)(y- b/2)

x(x + 1/2b) + y(y + a/2) -2xy = 5+(x-y)²

On comparing the coefficient, a student says these pairs of equations is consistent. Is he/she correct? Which of these explains why?
(a) Yes; because they are parallel lines.
(b) No; because they are interesting lines.
(c) Yes; because they are parallel lines.
(d) No; because they are interesting lines.

Ответ:

cisneros3

25.10.2021

Mathematics

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First equation is

can be further simplified to

Second equation is

So, we have two equations in simplest form as

and

Now, Consider

This implies, System of equations is consistent having unique solution.

So, The student is correct as lines are intersecting.

So, option (b) is correct.

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Ответ:

abby6628

24.04.2022

Mathematics

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Formation 1

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