Consider the system of equations : 2a + 3b - 4c = 7,
a - b + 2c = 6
(a) Find an ordered tripe of numbers (a,b,c) that satisfies both equations.
(b) Can you find a second ordered triple that satisfies both equations.
(c) Solve for b in terms of a, and solve for c in terms of a. How many solutions does this system have?