Question

Question-5: Solve the system of equations by Gaussian elimination: 24 +32 = 8 2.1 + 3y + 2 = 5 x - y - 22 = – 5

Answer 1

Au niven that 24+ 32 = 8 2x+3y +2 = 5 a-9-22=-5 Argumented mebix is so 2318 1) Interchage Ist and 3rd equation) R, Rz 2 3 1 x - y -27=-5 2x+34 + 2 = 5 2y+32-8 2) Divide the ind equation by 2. (R₂ Į Pr ) x-y-22=-5 7+3y +?=ş Dy +32 = 8 ri-1- 21-57 1 362 12 512 Add-1 times the Isl equation to the and equation (Rp 7 &q=P) x-y-22-5 fir1- 2157 0+ y + 32 - Oį 1512 2y +32 +8 10 23 lps Now. multiplying equation and by & h 2, 22) x-y-22 -5 -1-2 1-5 fy +z = 3 0 O 2 3 24 +37=8

Now, dividing equation Tird by 2. R3 I R3. a y -22=-5 r -1-2 yt z = 3 4 + 32=4 Now, Add-1 times the equation Ind to the equation wird. (R3 R₃-R2} p. 1-1-2,-57 2 -Y - 22 -5 y +2 = 3 [oo į 12 = 1 -los 1-1-21 ② Now. multiplying equation Ted by 2. R2 R3. x-y-22 =-5 4+2 = 3 0 1 3 l Ool 2 Z=2 The last equation gives. 12=2.), the second equation gives y+2=3 (9=1 Y= 3-2 = 1 The third equation gives x-4-27=-5 x-1-4 =-5 2= -5H + 4 [x=0h Hence the folwian set is on th