Question
Question 3: No Solutions
Consider the two equations you put a square around, with no solution. Solve the equations.
2x + 3 = 2x + 7
5x + 5 = 5x + 4
Consider the two equations you put a square around, with no solution. Solve the equations.
2x + 3 = 2x + 7
5x + 5 = 5x + 4
Answers
GPT 3.5
To solve the first equation, we can start by simplifying both sides:
2x + 3 = 2x + 7
We can subtract 2x from both sides to get rid of the variable term on one side:
2x - 2x + 3 = 2x - 2x + 7
Simplifying further:
3 = 7
The equation simplifies to 3 being equal to 7, which is not true.
Therefore, the first equation has no solution.
Now let's solve the second equation:
5x + 5 = 5x + 4
Similar to the first equation, we can simplify both sides:
5x - 5x + 5 = 5x - 5x + 4
Simplifying further:
5 = 4
The equation simplifies to 5 being equal to 4, which is not true.
Therefore, the second equation also has no solution.
2x + 3 = 2x + 7
We can subtract 2x from both sides to get rid of the variable term on one side:
2x - 2x + 3 = 2x - 2x + 7
Simplifying further:
3 = 7
The equation simplifies to 3 being equal to 7, which is not true.
Therefore, the first equation has no solution.
Now let's solve the second equation:
5x + 5 = 5x + 4
Similar to the first equation, we can simplify both sides:
5x - 5x + 5 = 5x - 5x + 4
Simplifying further:
5 = 4
The equation simplifies to 5 being equal to 4, which is not true.
Therefore, the second equation also has no solution.