Question

Solve the system{x−2y=62x−4y=12 No solutionInfinite number of solutions

Answer 1

Answer: Infinite number of solutions

Given:

x - 2y = 6

2x - 4y = 12

Solve through substitution:

$x-2y=6\rightarrow x=6+2y$$2x-4y=12$

*Substitute the first equation

$2(6+2y)-4y=12$$12+4y-4y=12$$12=12$

Since the two equation became equal, this would mean that the given systems of equation has an infinite number of solutions.