Question

Consider the system of equations shown below.

x - 4y + 5z = 8

-7x + 14y + 4z = -28

3x - 6y + z = 12

If the system is consistent, then write the solution in the form x = x_p + x_h, where x_p is a particular solution of Ax = b and x_h is a solution of Ax = 0. (If the system is inconsistent, enter INCONSISTENT in both matrices.)

X = [ ] + t [ ]

Answer 1

Given n-uy + 5z = 8 -72+144+42=-28 30 - 64+ z = 12 Augmented matrix is au 5187 1-7144-28 (3 -6 11 12 R2 R2 +7R R3 R3-3R sau 5187 10-14 89 28 lo 6-14 -12) Во - tu B2+ CR2 rinu 5187 To-14 35 28 Loo 381 o onsistent 3848=0 the suckem is ludo +39 03=28 -14 22 +39 0) = 28 14 x2 =28 22=-2 dia udz +5 do -8 a --22 +50) = 8 d-8 to=8 di=16

an an. take -lung +390 =0 lung= 39.03. = 39 dB and di-uda +5 as=0 diru ( 3 ) ene 1593 to >> 01 - 78 dB + 50370 5 ml- up az o So, ana neu3l7] 89/14 lo Tush 16 x = 1-2t do 3944 Lo solution of the system is a= not an is 167 Pusl] 1-2 t d 3 39114 LoJ