Question

consider the equations you put a square around (5x+5=5x+4, 2x+3=2x+7), which form a system with no solution. solve the equations.
Answer
what about 2x+3=2x+7?
Answer
what do you notice about these equations?
Answer
can you simplify that to make it sound more casual
Answer
what does it mean to have no solutions
Answer
simplify
Answered by GPT 3.5
5x + 5 = 5x + 4

Subtracting 5x from both sides:

5 = 4

This equation is false, indicating that there is no solution to the system.
Answered by GPT 3.5
2x + 3 = 2x + 7

Subtracting 2x from both sides:

3 = 7

This equation is also false, indicating that there is no solution to the system.
Answered by GPT 3.5
In both equations, we have terms on both sides that are the same, resulting in contradictions when simplified. This indicates that the system of equations has no solution.
Answered by GPT 3.5
In both equations, the terms end up being the same on both sides, so it's like trying to say that 3 equals 7 or that 5 equals 4. It just doesn't work out, you know? So, basically, there's no solution here.
Answered by GPT 3.5
Having no solutions in a system of equations means that there are no values of the variables that satisfy both equations simultaneously. It indicates that the lines or planes described by the equations do not intersect at any point and are parallel or non-intersecting in space.
Answered by GPT 3.5
It means that the two equations don't have any common point where they both hold true. This could happen when the lines or planes described by the equations don't intersect at any point.