Question

1) Solve the system of equations. Give your answer as an ordered pair (x,y)

{y=−7

{5x-6y=72

a) One solution:

b) No solution

c) Infinite number of solutions

2) Solve the system of equations. Give your answer as an ordered pair (x,y)

{x=2

{3x-6y=-30

a) One solution:

b) No solution

c) Infinite number of solutions

Answer 1

1) Given system of equations is :

y = -7..........(i)

5x-6y = 72........(ii)

From (i) and (ii) we have, 5x-6*(-7) = 72

i.e., 5x+42 = 72

i.e., 5x = 72-42

i.e., 5x = 30

i.e., x = 30/5

i.e., x = 6

Therefore, the system has one solution and the solution is (6,-7).

2) Given system of equations is :

x = 2.........(i)

3x-6y = -30...........(ii)

From (i) and (ii) we have,

3*2-6y = -30

i.e., 6-6y = -30

i.e., -6y = -30-6

i.e., -6y = -36

i.e., y = (-36)/(-6)

i.e., y = 6

Therefore, the system has one solution and the solution is (2,6).