If 2x+y&4x 5x-7&4x = 7&7y-13 &x+6 , then the value of x and y is: - Vidyadip

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
⇒ x = 2
And
2x + y = 7
⇒ y = 3

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