Solve the system. State whether the system is inconsistent or has infinitely many solutions....

Question

Solve the system. State whether the system is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.

2x+3y=5

4x+6y=10

Answer 1

The second equation in the system is the same as the first equation multiplied by 2. Infinitely many solutions in those cases.

For y arbitrary, solve either for y in terms of x. Done! :-)