If , find x and y.
We are given with,
We need to find the values of x and y.
We know by the property of matrices,
This implies,
a11 = b11, a12 = b12, a21 = b21 and a22 = b22
So, if we have
Corresponding elements of two matrices are equal.
That is,
x + 3 = 5 …(i)
4 = 4
y – 4 = 3 …(ii)
x + y = 9 …(iii)
To solve for x and y, we have three equations (i), (ii) and (iii).
From equation (i),
x + 3 = 5
⇒ x = 5 – 3
⇒ x = 2
From equation (ii),
y – 4 = 3
⇒ y = 3 + 4
⇒ y = 7
We need not solve equation (iii) as we have got the values of x and y.
Thus, the values of x = 2 and y = 7.