Answer:
B
Step-by-step explanation:
One way to tell is to put both equations into slope-intercept form. That form is usually written [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
Solve the first equation for y.
[tex]6x+2y=5 \\ 2y=-6x+5 \\ y=-3x+5/2[/tex]
The slope of this line is -3, and its y-intercept is 5/2.
Solve the second equation for y.
[tex]y+3x=2\\y=-3x+2[/tex]
The slope of this line is -3 and its y-intercept is 2.
The lines are parallel because they have the same slope and different y-intercepts. There is no solution to the system.
