Question
Form a system with no solution. Solve the equations. 2x+3=2x+7, 5x+5=5x+4
Answers
GPT 3.5
To form a system with no solution, we need to create two equations that are contradictory, meaning they cannot both be true at the same time.
The given equations are not contradictory. To solve them, we can start by simplifying each equation:
2x + 3 = 2x + 7
-2x -2x (subtract 2x from both sides)
3 = 7
This simplification shows that the equation is not valid, as 3 does not equal 7. Therefore, the original equation 2x + 3 = 2x + 7 has no solution.
Next, let's simplify the second equation:
5x + 5 = 5x + 4
-5x -5x (subtract 5x from both sides)
5 = 4
This simplification shows that the equation is not valid, as 5 does not equal 4. Therefore, the original equation 5x + 5 = 5x + 4 also has no solution.
So, the system of equations:
2x + 3 = 2x + 7
5x + 5 = 5x + 4
has no solution.
The given equations are not contradictory. To solve them, we can start by simplifying each equation:
2x + 3 = 2x + 7
-2x -2x (subtract 2x from both sides)
3 = 7
This simplification shows that the equation is not valid, as 3 does not equal 7. Therefore, the original equation 2x + 3 = 2x + 7 has no solution.
Next, let's simplify the second equation:
5x + 5 = 5x + 4
-5x -5x (subtract 5x from both sides)
5 = 4
This simplification shows that the equation is not valid, as 5 does not equal 4. Therefore, the original equation 5x + 5 = 5x + 4 also has no solution.
So, the system of equations:
2x + 3 = 2x + 7
5x + 5 = 5x + 4
has no solution.