Question

37x + 29y = 13 ; 29x + 37y = 53
x = ? y= ?

Answer 1

Step-by-step explanation:

ANSWER

Consider the equations:

37x+29y=13........(1) and

29x+37y=53........(2)

Multiplying equation 1 by 29 and equation 2 by 37, we get:

1073x+841y=377........(3) and

1073x+1369y=1961........(4)

Now subtracting equations 1 from equation 2 we get:

1073x+1369y−1073x−841y=1961−377

or 528y=1584

or y=3

Substitute the value of y in equation 1:

37x+87=13

37x=−74

x=−2

Hence, x=−2,y=3.