Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Matrices

Question:

The values of x and y in $\left[\begin{array}{l}2 x+y \\ x+2 y\end{array}\right]=\left[\begin{array}{l}4 \\ 5\end{array}\right]$ are:

Options:

4, 5

5, 4

1, 2

2, 1

Correct Answer:

1, 2

Explanation:

The correct answer is Option (3) → 1, 2

from matrix comparison

$2x+y=4$  ...(1)

$x+2y=5$  ...(2)

2 × eq. (2) - eq. (1)

$2x+4y-2x-y=10-6$

$3y=6⇒y=2$

from (2) $x+4=5⇒x=1$

$x,y=1,2$