Question

Choose the correct answer from the given four options :

If ${\displaystyle \left[\begin{array}{cc}x+3& 4\\ y-4& x+y\end{array}\right]=\left[\begin{array}{cc}5& 4\\ 3& 9\end{array}\right]}$ then the values of x and y are

विकल्प

• x = 2, y = 7

• x = 7, y = 2

• x = 3, y = 6

• x = – 2, y = 7

Answer 1

${\displaystyle \left[\begin{array}{cc}x+3& 4\\ y-4& x+y\end{array}\right]=\left[\begin{array}{cc}5& 4\\ 3& 9\end{array}\right]}$
Comparing we get
x + 3 = 5
⇒ x = 5 – 3 = 2
and
y – 4 = 3
⇒ y = 3 + 4 = 7
x = 2, y = 7.