Question

2. x+4y= 14 2x - y=1 x=2, y=3 3. 5x + 3y = 1 3x + 4y = -6 x=2, y=-3 | 4, 2y- 6x =7 3x - y=9 No solution/Parallel lines

Answer 1

Solcetion page No ② x+4y= 14 221 by - 1 we conte the system in the foron AX = B where A= [24] , 6={14] 54][3]-[*] form Now Concert A to row echelon we get (for R2-24) [o 5] [3] =["2a] Ti 4759] = [ we get y = 3 x+4y=14 2x = 14-12 31n02 in solution x=24 y 23 Sntzy 21 2x+4y =6 unite the above system of the equaren form ax=b A-5537 1 3 4 he the Whave of [52] [3]-[!] Similtenly as a privias one make a elementary row operations on a do convert itindo row echelon form

.by we get, - now by YSR & SRL fo:](%)=[%] we get y = -3 x + 2 y = 33 x + Z (-3) = - 3 - x=28 4 = -3 is sometion for ginen system. into ry-sx = 7 3x-y - 9 Now comert there system of equation Ax -b 13 -1 where a = -6 27 ,x= [2], b=1 / 1 - [53] [3] =(3) How make a Elementary row operations to condert- A into row echelon form .. by R₂ + R we get 562782 ] [1] Loo by ah we get [-] () [2]

from there weget Lрела е моя oox toy = 252 x- Yo Y = -7/6 but o.xto y = 0 - 2522 Whalf which is contradiction the giuen system has no solution