Say true or false.
The pair of linear equations $3 x - y = 3$ and $9 x - 3 y = 9$ have infinite solutions.

True

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

False

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A True
Let $3 x - y = 3 . . . . . . (1)$
$9 x - 3 y = 9 . . . . . . (2)$
$(1) \times 3 \Rightarrow 9 x - 3 y = 9 . . . . . . (3)$
$∴ (2) = (3)$
Since the pair of linear equations are equivalent. There are infinite number of solutions.
The correct answer is A.

Suggest Corrections

Similar questions

3 x - y = 3

9 x - 3 y = 9

3 x - y = 3, 9 x - 3 y = 9

Find the following pair of linear equations by the substituting method:-

(a) 3x-y=3

9x-3y=9

b) 0.2x+0.3y=1.3

0.4x+0.5y=2.3

(3 k + 1) x + 3 y - 5 = 0

2 x - 3 y + 5 = 0

k

Join BYJU'S Learning Program