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.