Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

If $\begin{bmatrix} 4x & 5x-7\\4x & 2x+y \end{bmatrix} = \begin{bmatrix} x+6 & y\\7y-13 & 7 \end{bmatrix}$ then the value of $2x+ y$ is :

Options:

8

7

9

6

Correct Answer:

7

Explanation:

$\begin{bmatrix} 4x & 5x-7\\4x & 2x+y \end{bmatrix} = \begin{bmatrix} x+6 & y\\7y-13 & 7 \end{bmatrix}$

On comparison

$4x = x+6$

so $3x=6⇒x=2$

$5x-7=y$ so $10-7=y$

$y=3$

$2x+y=4+3=7$