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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