SOLUTION: Solve the system of equations. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.) 2x + y − z = −9 3x

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Solve the system of equations. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.) 2x + y − z = −9 3x      Log On


   



Question 922079: Solve the system of equations. (If the system is dependent, enter a general solution in terms of c. If there is no solution, enter NO SOLUTION.)
2x + y − z = −9
3x + 2y + 3z = 25
7x + 4y + z = 7
(x, y, z) =

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
-4(2x + y -z =-9)
7x + 4y + z = 7
-x+%2B+5z+=+43
.........
-2(2x + y - z = -9)**
3x + 2y + 3z = 25
-x+%2B+5z+=+43 **
........
-(-x + 5z = 43)
-x + 5z = 43
0 = 0 Dependent System, INfinite Solutions
............
Let z = c , x+=+5c-43 and y+=+-2%285c-43%29+%2B+c+-+9, y+=+-9c+%2B+77
(5c - 43, -9c +77, c) are the solutions in terms of c