Simultaneous Linear Equations.
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3. (a) Solve the following systems of equations
i)
x + 2 y - z = 2
-3 x - y + z = -3
- x+ 3 y - z = 1
ii)
4 x+ -3 y+ z = - 1
-3 x+ y+ -5 z = 0
-5 x -4 z = 0
iii)
x1 + x2 + x3 = 3
-3 x1 -17 x2 + x3 + 2 x 4 = 1
4 x -7 x2 + 8 x3 -5 x4 = 1
-5 x2 -2 x3 + x4 = 1
(b) Find the values of k for which the attached system of simultaneous equations has a unique solution.
x-y+2z=2
3x+y-z=k
2x+2y-kz=1
Find the solution when k = 6
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Solution Summary
The solution solves a set of simultaneous linear equations.
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