Question

Select the statement that correctly describes the solution to this system of equations.
2x - 3y = 1 and 4x - 6y = 2

A.

There is no solution.
B.

There are infinitely many solutions.
C.

There is exactly one solution at (1,1).
D.

There is exactly one solution at (2,1).

Answer 1

B.

The second equation is just 2 times the first (4x - 6y = 2), so the two equations represent the same line and there are infinitely many solutions (all (x,y) satisfying 2x - 3y = 1).