Question
Form a system with infinite solutions. Solve the equations. 7x+3=7x+3, 5x+5=5x+4
Answers
GPT 3.5
To form a system with infinite solutions, we need to have two equations that are equivalent or dependent on each other.
In this case, the first equation, 7x + 3 = 7x + 3, is already in this form. This equation is always true, regardless of the value of x. Therefore, any value of x satisfies this equation, resulting in infinite solutions.
As for the second equation, 5x + 5 = 5x + 4, we can begin by simplifying it:
5x + 5 = 5x + 4
By subtracting 5x from both sides, we get:
5 = 4
This equation is never true since 5 is not equal to 4. Therefore, there are no solutions to this equation.
In summary:
The system of equations:
7x + 3 = 7x + 3,
5x + 5 = 5x + 4
Has infinite solutions for the first equation and no solutions for the second equation.
In this case, the first equation, 7x + 3 = 7x + 3, is already in this form. This equation is always true, regardless of the value of x. Therefore, any value of x satisfies this equation, resulting in infinite solutions.
As for the second equation, 5x + 5 = 5x + 4, we can begin by simplifying it:
5x + 5 = 5x + 4
By subtracting 5x from both sides, we get:
5 = 4
This equation is never true since 5 is not equal to 4. Therefore, there are no solutions to this equation.
In summary:
The system of equations:
7x + 3 = 7x + 3,
5x + 5 = 5x + 4
Has infinite solutions for the first equation and no solutions for the second equation.