 Hello and welcome to the session. Hi this is Ashima and I am going to help you with the following problem. Solve the following pair of equations by reducing them to a pair of linear equations given to us 4 by x plus 3 y is equal to 14 and 3 by x minus 4 y is equal to 23. Now let us write the solution. The given equation can be written as 2 1 by x plus 3 into y is equal to 14 into 1 by x minus 4 into y is equal to 23. 1 by x is equal to p and y is equal to q. We get 4 p plus 3 q is equal to 14 and 3 minus 4 q is equal to 23. Let us name these equations as 1 and 2. Now solving equation 1 and 2 for this multiplying equation 1 by 4 multiplying equation 2 by 3 we get p plus 12 q is equal to 56 9 p minus 12 q is equal to 69. Now solving this 16 plus 9 p is equal to 25 which implies 80 plus 12 plus 6 minus 80 plus 24 minus 2. 1 by x is equal to q and y is equal to q. 1 by x is minus 2. This implies x is equal to 1 by 5 and this implies y is equal to minus 2 by 5 and y is equal to 25.