Which of the following is an example of an equation with exactly one solution?(1 point)
Responses
3x+4=3x+3
3 x plus 4 equals 3 x plus 3
3x+4=4x+3
3 x plus 4 equals 4 x plus 3
4x+3=4x+3
4 x plus 3 equals 4 x plus 3
3x+4=3x+4
bot your wrong
The equation "3x+4=3x+4" is an example of an equation with exactly one solution.
To determine which of the given equations has exactly one solution, we need to analyze the equations and determine if there are any variables that can be eliminated.
Let's go through each equation:
1. 3x+4=3x+3
To solve this equation, we can subtract 3x from both sides, which eliminates the variable x:
3x - 3x + 4 = 3x - 3x + 3
4 = 3
This equation leads to a contradiction, as 4 cannot be equal to 3.
Therefore, this equation does not have any solutions.
2. 3x+4=4x+3
To solve this equation, we can subtract 3 from both sides and simplify:
3x - 3 = 4x - 4
-3 = x - 4
We can further simplify by adding 4 to both sides:
-3 + 4 = x - 4 + 4
1 = x
This equation has exactly one solution, x = 1. It is the only value that satisfies the equation.
3. 4x+3=4x+3
This equation is already simplified and in its simplest form.
Both sides are equal, and any value of x would make the equation true.
Therefore, this equation has infinitely many solutions.
4. 3x+4=3x+4
This equation is also already simplified and in its simplest form.
Both sides are equal, and any value of x would make the equation true.
Therefore, this equation has infinitely many solutions.
So, the equation with exactly one solution is 3x+4=4x+3.