Find the x,y values, if $[\begin{array}{cc} 3 x + 7 & 5 \\ y + 1 & 2 - 3 x \end{array}] = [\begin{array}{cc} 0 & y - 2 \\ 8 & 4 \end{array}]$

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

$x = \frac{- 1}{3}, y = 7$

Not possible to find

$y = 7, x = \frac{- 2}{3}$

$x = \frac{- 1}{3}, y = \frac{- 2}{3}$

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

It is given that

$[\begin{array}{cc} 3 x + 7 & 5 \\ y + 1 & 2 - 3 x \end{array}] = [\begin{array}{cc} 0 & y - 2 \\ 8 & 4 \end{array}]$ Equating the corresponding elements, we get

$\begin{array}{l} 3 x + 7 = 0 \\ \Rightarrow x = - \frac{7}{3} \\ 5 = y - 2 \\ y = 7 \\ y + 1 = 8 \\ y 2 - 3 x = 4 \\ \Rightarrow x = - \frac{2}{3} \end{array}$

We find that on comparing the corresponding elements of the two matrices, we get two different values of x, which is not possible. Hence, it is not possible to find the values of x and y for which the given matrices are equal.

Watch 3-min video & get full concept clarity