Question

Solution of equation 37x + 41y = 70; 41x + 37y = 86 is:

• A. x = -1 and y = 3
• B. x = 1, y = -3
• C. x = 1 and y = 3
• D. x = 1, y = 3

Answer 1

The correct option is A

x = -1 and y = 3

The given system of equations in x & y are such that the coefficients of x & y in

One equation are interchanged in the other.

37x + 41y = 70.......(i)

41x + 37y = 86...... (ii)

Adding (i) and (ii)

78x + 78y = 156

⇒x + y = 2 ....(iii)

Substracting equation (ii) from (i)

-4x + 4y = -16

x - y = -4.......(iv)

From (iii) and (iv), we get

x = -1

y = 3