Answer:
The system has infinitely many solutions.
Step-by-step explanation:
System of equations given:
[tex]$\left \{ {{2x - 4y = 6} \atop {x - 2y = 3}} \right. $[/tex]
From the system, we know that
[tex]x=3+2y[/tex]
Now let's find [tex]y[/tex] using [tex]x=3+2y[/tex]
[tex]2x-4y=6[/tex]
[tex]2(3+2y)-4y=6[/tex]
[tex]6+4y-4y=6[/tex]
[tex]6=6[/tex]
The system has infinitely many solutions:
[tex]$\left \{ {{2x - 4y = 6} \atop {x - 2y = 3}} \right. $[/tex]
If we divide both sides of the first equation by 2,
[tex]$\left \{ {{x - 2y = 3} \atop {x - 2y = 3}} \right. $[/tex]
