Question

The values of x and y satisfying the two equations 32x + 33y = 34 ; 33x + 32y = 31 will be respectively

Answer 1

Answer:

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Answer 2

Answer:

here it is

Step-by-step explanation:

32x + 33y = 34.....................................(1)

33x + 32y = 31.........................................(2)

solving equation number (1) and(2) by elimination method,

33( 32x + 33y = 34)

32( 33x + 32y = 31)

here by multiplying equation 1 with 33 and equation 2 with 32 we get,

1056x + 1089y = 1122.....................................(3)

1056x + 1024y = 992......................................(4)

solving equation number 3 and 4, and changing the sign

1056x + 1089y = 1122

-1056x - 1024y = - 992

65y = - 880

y = 13.5

putting the value of y in equation 2

33x + 32(13.5) = 31

33x + 432 = 31

33x = 31 - 432

33x = 401

x = 12.1

so here the value of x = 12.1 and y= 13.5