Question

solve the following equations by cramer's rule : 2 X + 3 Y - Z = 4 , x - 7 Y - 5 Z = 1 and X + 5 Y + 3 Z = 9​

Answer 1

Hii @tejaswi74 ,

x = -7

y = -2

z = +4

2x + 3y - z = 4

x - 7y - 5z = 1

x + 5y + 3z = 9

D = 2 3 -1

1 -7 -5

1 5 3

= 2 [ ( -7 * 3 ) - ( -5 * 5 ) ] - 3 [ ( 1 * 3 ) - ( -5 * 1 ) ] - 1 [ ( 1 * 5 ) - ( -7 * 1 ) ]

= 2 ( -21 + 25 ) - 3 ( 3 + 5 ) - 1 ( 5 + 7 )

= 2 * 4 - 3 * 8 - 1 * 12

= 8 - 24 - 12

= - 36 + 8

= - 28

similarly,...

Dx = 196

Dy = 56

Dz = -112

thus,

By cramer's rule,

x = Dx / D = 196 / -28 = -7

y = Dy / D = 56 / -28 = -2

z = Dz / D = -112 / -28 = 4

Note - im attaching photo for reference of Dx, Dy & Dz,

since because it was taking lots of time for typing,

i solved that on notebook,

Really Sorry! for inconvenience!

Mark as Brainliest if this helped you!!

Thank you!!!