The pairs of linear equations which have the unique solution x -2- y -3 are-A- x-y-1 - 2 x-3 y-5B- 2 x -5 y -11 - 4 x -10 y -22C- 2 x - y -1 - 3 x -2 y -0D- x -4 y -14-0 - 5 x - y -13-0

The correct options are A x + y = ndash;1 ; 2x + 3y = ndash;5 D x – 4y –14 = 0 ; 5x – y – 13 = 0 Option A: x + y = –1 —–(i) 2x + 3y = –5— (ii) nbs ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Solving Simultaneous Linear Equation Using Method of Elimination

The pairs of ...

Question

The pairs of linear equations which have the unique solution $x = 2, y = - 3$ are,

$x + y = - 1; 2 x + 3 y = - 5$

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

$2 x + 5 y = - 11; 4 x + 10 y = - 22$

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

$2 x - y = 1; 3 x + 2 y = 0$

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

$x - 4 y - 14 = 0; 5 x - y - 13 = 0$

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

Open in App

Solution

The correct options are
A
$x + y = - 1; 2 x + 3 y = - 5$

D
$x - 4 y - 14 = 0; 5 x - y - 13 = 0$

Option A:

$x + y = - 1 - - - - - (i)$

$2 x + 3 y = - 5 - - - - (i i)$

$(i) \times 2 \to 2 x + 2 y = - 2 - - - - (i i i)$

Solving by elimination $((i i i) - (i i))$ we get,

$x = 2 a n d y = - 3.$

Option D:

$x - 4 y = 14 - - - - (i)$

$5 x - y = 13 - - - - - (i i)$
$(i i) \times 4 \to 20 x - 4 y = 52 - - - - (i i i)$

Solving by elimination method $((i i i) - (i))$ we get,

$x = 2 a n d y = - 3$

Suggest Corrections

Similar questions

A pair of linear equations which has a unique solution $x = - 2, y = 1$ is

The pairs of linear equations which have the unique solution x = 2, y = –3 are

The pairs of linear equations whose solution is x = 2, y = –3 are

Q. The pairs of linear equations which have the unique solution x = 2, y = –3 are

i. x + y = –1 ; 2x + 3y = –5
ii. 2x + 5y = –11 ; 4x + 8y = –22
iii. 2x – y = 1 ; 3x + 2y = 0
iv. x – 4y –14 = 0 ; 5x – y – 13 = 0

Q. Which of the following pairs of linear equations has unique solution, no solution, or infinitely many solutions.
(i)

x - 3 y - 3 = 0; 3 x - 9 y - 2 = 0

(ii)

2 x + y = 5; 3 x + 2 y = 8

(iii)

3 x - 5 y = 20; 6 x - 10 y = 40

(iv)

x - 3 y - 7 = 0; 3 x - 3 y - 15 = 0

Join BYJU'S Learning Program

The pairs of linear equations which have the unique solution x=2,y=–3 are,

The pairs of linear equations which have the unique solution $x = 2, y = - 3$ are,