Question

For what values of k the equations x + y + z = 1, 2x + y + 4z = k,
4x + y + 10z = k
2
is consistent. For each value of k, find the solution.

Answer 1

Answer:

Test the consistency of the following equations. Find the solutions if consistent:

(i) 3x + 3y + 2z = 1

(ii) x+2y=4

(iii) 10y+3z=-2

(iv) 2x-3y-z=5