The set of solutions consists of ordered pairs (x, y). If you want to calculate some elements of this set you need a parameter such that

or

Solve this system of equations considering b, c as constants. You'll get:2. Find the values of b and c for which equations x+5y = 4 and 2x + by = c that have

a. a unique solution b. infinite set of solutions c. no solution

You now can determine

a.)

b.)

c.)

If you solve this system of equation at first for y you'll get y = 0 and x = 2.3. Solve simultaneous equations 2x-3y = 4 and x + ky = 2 where k is a constant, also, find value of k with no unique solution

How do I solve these

So it seems as if k can have any value. But if you solve the system at first for x you'll get

Obviously this fraction is not defined for