how you can tell is no solution when you graph a system of equations?

Question

please tell me the answer

Answer 1

If you get to a point where all the variables are eliminated and you have an inconsistent statement like:
-3 = 10

Another way is you get the equations in the same form, but the values on the right hand side are different.

2x + 3y = -3
2x + 3y = 10

Notice how you have something (2x + 3y) equal to two different values, so there is no possible solution that will satisfy both equations.

Answer 2

There is no solution when there's no point where all the graphs have the same value.... Example:
System of 2 equations... if the lines are parallel, they'll never touch, so there's no solution.

Answer 3

when there is no intersection of the graphs

Answer 4

when the lines never intersect!