If \(\begin{bmatrix}x\,+\,3y & y \\[0.3em]7\,-\,x & 4 \\[0.3em]\end{b

1.	If \(\begin{bmatrix}x\,+\,3y & y \\[0.3em]7\,-\,x & 4 \\[0.3em]\end{bmatrix}\) = \(\begin{bmatrix}4 & -1 \\[0.3em]0 & 4 \\[0.3em]\end{bmatrix}\), then find the value of x and y.
Answer» \(\begin{bmatrix}x\,+\,3y & y \\[0.3em]7\,-\,x & 4 \\[0.3em]\end{bmatrix}\) = \(\begin{bmatrix}4 & -1 \\[0.3em]0 & 4 \\[0.3em]\end{bmatrix}\) Equating the corresponding elements, we get, x + 3y =4, y = -1, 7 - x = 0 ⇒ x = 7, y = -1

If \(\begin{bmatrix}x\,+\,3y & y \\[0.3em]7\,-\,x & 4 \\[0.3em]\end{bmatrix}\) = \(\begin{bmatrix}4 & -1 \\[0.3em]0 & 4 \\[0.3em]\end{bmatrix}\), then find the value of x and y.

Answer»

\(\begin{bmatrix}x\,+\,3y & y \\[0.3em]7\,-\,x & 4 \\[0.3em]\end{bmatrix}\) = \(\begin{bmatrix}4 & -1 \\[0.3em]0 & 4 \\[0.3em]\end{bmatrix}\)

Equating the corresponding elements,

we get,

x + 3y =4, y = -1, 7 - x = 0

⇒ x = 7, y = -1