Answer to Question #89658 in Algebra for lana majeed

Question

finding this variable a,b,c and d
a+b+c+d=0
-a+b+2c+3d=0
-a+b+8c+27d=0

Answer 1

a + b + c + d = 0,

- a + b + 2c + 3d = 0,

- a + b + 8c + 27d = 0,

a = b + 8c + 27d,

a = b + 2c + 3d,

b + 8c + 27d = b + 2c + 3d,

8c + 27d = 2c + 3d,

24d = - 6c,

-4d = c

a = - b - c - d,

b = - 2c - 3d + a = 8d - 3d + (- b - (-4d) - d) = 8d - b,

2b = 8d,

b = 4d,

a = - 4d + 4d -d = -d