Asked by anonymous
what is the solution of the system of equations.
2x+2y+3z=-6
3x+5y+4z=3
2x+3y+4z=-10
2x+2y+3z=-6
3x+5y+4z=3
2x+3y+4z=-10
Answers
Answered by
Steve
(x,y,z) = (5,4,-8)
Answered by
anonymous
is there away to show your work
Answered by
Steve
sure. One way is to do elimination by adding and subtracting multiples of one equation from another.
subtract 2*second from 3*first:
6x+6y+9z = -18
6x+10y+8z = 6
-----------------
-4y + z = -24
subtract first from third
-y - z = 4
now add those two to get
-5y = -20
y=4
so, z=-8 and x=5
subtract 2*second from 3*first:
6x+6y+9z = -18
6x+10y+8z = 6
-----------------
-4y + z = -24
subtract first from third
-y - z = 4
now add those two to get
-5y = -20
y=4
so, z=-8 and x=5
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