Solve for x and y, when

Given :

To find : x and y

Formula used :

Where c_ij = a_i1b_1j + a_i2b_2j + a_i3b_3j + ……………… + a_inb_nj

If A is a matrix of order a b and B is a matrix of order c d ,then matrix AB exists and is of order a d ,if and only if b = c

The resulting matrix obtained on multiplying and is of order 2 × 1

× = =

=

Equating similar terms,

3x – 4y = 3 equation 1

x + 2y = 11 equation 2

equation 1 + 2(equation 2) and solving the above equations,

5x = 25

x = = 5

x = 5 , substituting x = 2 in equation 2,

5 + 2y = 11

2y =11 – 5 = 6

2y = 6

y = = 3

x = 5 and y = 3