Question

if 29 X + 41 Y = 169 and 41 x + 29 Y = 181 then y =​

Answer 1

Answer:

Step-by-step explanation:

29X+41Y=169.....(1)

41X+29Y=181......(2)

multiply 41 in equation (1) and 29 in equation (2)

(29×41)X+(41×41)Y=169×41......(3)

(41×29)X+(29×29)Y=181×29......(4)

Now subtract equation (4) from equation (3) we get

(41×41)Y-(29×29)Y=(169×41)-(181×29)

1681Y-841Y=6929-5249

840Y=1680

Y=1680/840

Y=2

Answer 2

Answer:

take 29X+41Y=169 as equation 1 and 41X+29Y=181 as equation 2 now subtract equation 1 from equation 2 =12X–12Y=12=12(X–Y) =12

L. H. S 12 and R. H. S. 12 will get cancelled so

X–Y=1 so Y=X–1

SO THE FINAL ANSWER IS Y=X–1