Q. 3 B5.0( 2 Votes )

# Let us determine

Answer :

6x – 8y = 2 …(1)

3x – 4y = 1 …(2)

Let us express the equations (1) and (2) in the form of

ax + by +c = 0 where a and b can’t be 0 at the same time.

[In the first equation, we use a_{1}, b_{1}, c_{1} and in second equation, we use a_{2}, b_{2}, c_{2} ]

6x – 8y = 2 3x – 4y = 1

∴ 6x + (-8y) + (-2) = 0 ∴ 3x + (-4y) + (-1) = 0

Or 6 × x + (-8) × y + (-2) = 0 or, 3 × x + (-4) × y + (-1) = 0

Here a_{1} = 6, b_{1} = -8, c_{1} = -2 and a_{2} = 3, b_{2} = -4, c_{2} = -1

Comparing the ratio of , we get

, and

Here . Therefore, it has infinite common solutions. Graph of equations will overlap.

Rate this question :

Let us express thWest Bengal Mathematics

To eliminate y, wWest Bengal Mathematics

Let us determine West Bengal Mathematics

Tathagata has wriWest Bengal Mathematics

Tathagata has wriWest Bengal Mathematics

Tathagata has wriWest Bengal Mathematics

Let us determine West Bengal Mathematics

Let us determine West Bengal Mathematics

Let us determine West Bengal Mathematics

Let us express thWest Bengal Mathematics