# Solve for x and y, when Given : To find : x and y

Formula used : Where cij = ai1b1j + ai2b2j + ai3b3j + ……………… + ainbnj

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

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