Question

is it true to say that pair of equations - X + 2 y + 2 is equal to 0 and 1 by 2 x minus 1 by 4 y minus 1 is equal to zero has a unique solution justify your answer

Answer 1

Given:

- X + 2 y + 2 is equal to 0 and 1 by 2 x minus 1 by 4 y minus 1 is equal to zero.

To find:

Is it true to say that pair of equations has a unique solution justify your answer.

Solution:

From given, we have,

- X + 2 y + 2 is equal to 0  

⇒ -x + 2y + 2 = 0  

ax + by + c = 0

1 by 2 x minus 1 by 4 y minus 1 is equal to zero

⇒ 1/2 x - 1/4 y - 1 = 0

dx + ey + g = 0

The condition for a pair of equation to have a unique solution is as follows:

a/d ≠ b/e

-1 / (1/2) ≠ 2 / (-1/4)

-2 ≠ -8

2 ≠ 8

Therefore, the given pair of equations have a unique solution.

Answer 2

Step-by-step explanation:

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