Can anybody solve this equation pls
Answers
-4x+3y-z=0.....EQ1
-x-3y+2z=0.......EQ2
x+y+z=27........EQ3
EQ1-EQ2
-4x+3y-z=0
-4x-12y+8z=0×4
-__________________
0+15x-9z=0
15y-9z=0.....EQ4
EQ2+EQ3
-x-3y+2z=0
x+y+z=27
___________________
-2y+3z=27....EQ5
Now,
EQ4+EQ5
15y-9z=0
-6y+9y=81×3
_______________
9y+0=81
Y=81/9
Y=9...EQ6
Sub,EQ6 in EQ4
15y-9z=0
15(9)-9z=0
9z=135
Z=135/9
Z=15...EQ7
sub,EQ6 & EQ7 in EQ3
X+Y+Z=27
X+9+15=27
X+24=27
X=27-24
X=3
THEN THE VALUES OF
X=3,Y=9 AND Z=15
sub, x, y, z values in EQ3
=>X+Y+Z=27
=>3+9+15=27
=>12+15=27
=>27=27
therefore, LHS=RHS
In the same way you can substitute in EQ1 & EQ2..
Step-by-step explanation:
-4x+3y-z=0.....EQ1
-x-3y+2z=0.......EQ2
x+y+z=27........EQ3
EQ1-EQ2
-4x+3y-z=0
-4x-12y+8z=0×4
-__________________
0+15x-9z=0
15y-9z=0.....EQ4
EQ2+EQ3
-x-3y+2z=0
x+y+z=27
___________________
-2y+3z=27....EQ5
Now,
EQ4+EQ5
15y-9z=0
-6y+9y=81×3
_______________
9y+0=81
Y=81/9
Y=9...EQ6
Sub,EQ6 in EQ4
15y-9z=0
15(9)-9z=0
9z=135
Z=135/9
Z=15...EQ7
sub,EQ6 & EQ7 in EQ3
X+Y+Z=27
X+9+15=27
X+24=27
X=27-24
X=3
THEN THE VALUES OF
X=3,Y=9 AND Z=15
sub, x, y, z values in EQ3
=>X+Y+Z=27
=>3+9+15=27
=>12+15=27
=>27=27
therefore, LHS=RHS
In the same way you can substitute in EQ1 & EQ2..