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Matrices — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsMatrices1 Mark
MCQ
If $\begin{bmatrix}2\text{x}+\text{y}&4\text{x}\\5\text{x}-7&4\text{x}\end{bmatrix}=\begin{bmatrix}7&7\text{y}-13\\\text{y}&\text{x}+6\end{bmatrix},$ then the value of $x$ and $y$ is :
  • A
    $x = 3, y = 1$
  • B
    $x = 2, y = 3$
  • ✓
    $x = 2, y = 4$
  • D
    $x = 3, y = 3$
✓

Answer

Correct option: C.
$x = 2, y = 4$
$\begin{bmatrix}2\text{x}+\text{y}&4\text{x}\\5\text{x}-7&4\text{x}\end{bmatrix}=\begin{bmatrix}7&7\text{y}-13\\\text{y}&\text{x}+6\end{bmatrix},$
Equating the terms, we get
$4x = x + 6$
$\Rightarrow x = 2$
And
$2x + y = 7$
$\Rightarrow y = 3$

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