solve the system of linear equations for x,y,and z: 4x-3y+2z=26 6x+y-9z=2 -5x+5y
ID: 3096117 • Letter: S
Question
solve the system of linear equations for x,y,and z: 4x-3y+2z=26 6x+y-9z=2 -5x+5y+4z=-4 please show me how with answer thank solve the system of linear equations for x,y,and z: 4x-3y+2z=26 6x+y-9z=2 -5x+5y+4z=-4 please show me how with answer thankExplanation / Answer
4x-3y+2z=26 .....(1) 4x-3y+2z=26 ....(1) 6x+y-9z=2 .....(2) -5x+5y+4z=-4 ....(3) ------------------------------- ------------------------------- (1) x 1 => 4x-3y+2z=26 (1) x 5 => 20x -15y+10z = 130 (2) x 3 => 18x +3y-27z=6 (3) x 3 => -15x+15y+12z=-12 -------------------------------- ---------------------------------- adding 22x- 25z=32 ....(4) adding 5x +22z = 118 .......(5) (4) x 5 =>110x -125z = 160 (5) x22 =>110x +484z = 2596 ---------------------------------------- by subtraction -609 z = -2436 z= -2496/ -609 =4 put the value of z in (5) 5x+22 x 4=118 5x =118-88 5x =30 x =6 now put the values of x and z in (1) 4 (6) -3y + 2 (4) =26 24 -3y +8 =26 -3y = 26-32 -3y = -6 y=2 x=6, y=2, z=4 are the answers
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