solve by substitution please help me im not sure how to do this
-x-y-z=-8 -4x+4y+5z=7 2x+2z=4
call : x - 4y + z = 6 (e1) == > z = 6 - x + 4y 2x + 5y - z = 7 (e2) 2x - y - z = 1 (e3) sub z from e1 in e2 you have : 2x + 5y - 6 + x - 4y = 7 ==> 3x + y = 13 ==> 3x = 13 - y (*) sub z from e1 in e3 you have: 2x - y - 6 + x - 4y = 1 ==> 3x - 5y = 7 (**) sub 3x from (*) in (**), you have 13 - y - 5y = 7 ==> 6 = 6y ==> y = 1 sub y = 1 into (*), you have: 3x = 13 - 1 = 12 ==> x = 4 sub both y = 1 and x = 4 into (e1), you have: 4 - 4(1) + z = 6 ==> z = 6 so answer : x = 4, y = 1, z =6 (you can use these values to check other equations to see if they come out all right)
make sense or no?
can you do this like step by step so i understand more please @taylor0402
its kind of hard for me to explain anyother way sorrn :((
-x-y-z=-8 x+y+z=8 x+z=8-y 2x+2z=16-2y 16-2y=4 2y=16-4=12 y=12/2=6 -4x+4y+5z=7 -4x+4*6+5z=7 -4x+5z=7-24=-17 ...(1) 2x+2z=4 x+z=2 ... (2) x=2-z put in (1) -4(2-z)+5z=-17 -8+4z+5z=-17 9z=-17+8=-9 z=-9/9=-1 put in (2) x-1=2 x=2+1=3 x=3,y=6,z=-1
Join our real-time social learning platform and learn together with your friends!