Question

Use the Cramer's Rule to solve the system

\(2 x-y+z=0\)

\(x+y-z=6\)

\(4 x-5 y+3 z=28\)

Any other method will not be graded ! Justify your answer!

Answer 1

Need to save the system using cameo's sule Given system of equations in the form of Ax=B ( where A 1 & B- - u - 1 6 3 28 -5 TAI= ) wI- u 3 21331-c043) = 2(3-5] + [3+4] + 1 [-5-u] 2(-2) + (7) +169) =-4+7-9 2-6 Al=-6 Now, replace column 1 of a with Bi -1 o 6 1 28 -5 3 Ait 0(3+5)-2-1 | 18+28)+163.0-28) Raplace column 2 with B: = |(46) +1(-58) --12 1A= 2 (18+28) -o (3+4) +1 (28-24) u 28 3 2(AG)-0*1(u)=6 Replace columns with 'B' (A31 - -2 (28+30)+1(28-22)-0(54) 4 -5 28 = 2(58)+1(4)-0=120 d - 3 -1 = -10 6

A) Now, a Ail TAI y= 142) TAL 2-1 -12 16 96 126 y = -16 ; 3=-20 .. The solution is (2, 4,3)= (2,-16, -2

Answer 2