Answer:
B
Step-by-step explanation:
One way to tell is to put both equations into slope-intercept form. That form is usually written
where <em>m</em> is the slope and <em>b</em> is the y-intercept.
Solve the first equation for y.
![6x+2y=5 \\ 2y=-6x+5 \\ y=-3x+5/2](https://tex.z-dn.net/?f=6x%2B2y%3D5%20%5C%5C%202y%3D-6x%2B5%20%5C%5C%20y%3D-3x%2B5%2F2)
The slope of this line is -3, and its y-intercept is 5/2.
Solve the second equation for y.
![y+3x=2\\y=-3x+2](https://tex.z-dn.net/?f=y%2B3x%3D2%5C%5Cy%3D-3x%2B2)
The slope of this line is -3 and its y-intercept is 2.
The lines are parallel because they have the same slope and <u>different</u> y-intercepts. There is no solution to the system.