Question

Use Cramer's rule to solve the system. X + y - z = 5 X- y + 2z = -7 x + 3y - 2z = 9 The solution set is {(000)}.

Answer 1

nty-2=5 x-Y+22=-7 * +34-82:9 augmented main'x is - 5 . 2 -7 3 - 2 9 Rgp Rg-R, & R₂7 R3-R1 - 5 0 -2 3 2 -1 -12 4 0 R₂ R₂ + R2 57 0 - 2 31-12 2 255 22 = -0.30 2: x+y+2 - 2y + 325-12- - -) 2=64 Put the value of in egn @ 1-2y+32=-12, 3) - 2y +3X(-4)=-12 =) - 34 712=-12 =) - 2y = 42+12 =) - 2y=0 ( y=0 put the halen af and 2 in egr 0 nty-z=5 x+0-(-4) = 5 -) x+y= 5 =) * = 5-4=) ~= ) (n&Y, 2) (160,-y The solution set {(1, 0,40)