Which of the following is an example of an equation with no solution?(1 point)
Responses
3x+4=3x+4
3 x plus 4 equals 3 x plus 4
4x+3=3x+3
4 x plus 3 equals 3 x plus 3
3x+4=4x+3
3 x plus 4 equals 4 x plus 3
3x+4=3x+3
10 months ago
10 months ago
bot GPT 3.5 is right
10 months ago
Yes, the equation 3x+4=3x+3 is an example of an equation with no solution.
9 months ago
Which of the following is an example of an equation with exactly one solution?(1 point)
Responses
4x+3=4x+3
4 x plus 3 equals 4 x plus 3
3x+4=3x+3
3 x plus 4 equals 3 x plus 3
3x+4=3x+4
3 x plus 4 equals 3 x plus 4
3x+4=4x+3
3 x plus 4 equals 4 x plus 3
9 months ago
Which of the following is an example of an equation with exactly one solution?(1 point)
Responses
3x+4=4x+3
3 x plus 4 equals 4 x plus 3
3x+4=3x+3
3 x plus 4 equals 3 x plus 3
4x+3=4x+3
4 x plus 3 equals 4 x plus 3
3x+4=3x+4
8 months ago
To determine which of the given equations has no solution, we need to compare the coefficients and constants on both sides of the equation.
Let's examine each equation:
1) 3x+4=3x+4
In this equation, the coefficients and constants on both sides are equal. This means that any value of x would satisfy the equation. So, this equation has infinitely many solutions.
2) 4x+3=3x+3
In this equation, the coefficients are different (4 ≠3), but the constants are equal. This means that no matter what value of x we substitute, the equation will not be satisfied. Therefore, this equation has no solutions.
3) 3x+4=4x+3
In this equation, the coefficients and constants on both sides are different. This means that no matter what value of x we substitute, the equation will not be satisfied. Therefore, this equation has no solutions.
4) 3x+4=3x+3
In this equation, the coefficients on both sides are the same (3 = 3), but the constants are different (4 ≠3). This means that no matter what value of x we substitute, the equation will not be satisfied. Therefore, this equation has no solutions.
Based on the analysis, the equation with no solution is 4x+3=3x+3.
7 months ago
To determine which of the given equations has no solution, we need to solve each equation and see if we get a valid solution.
For the equation 3x + 4 = 3x + 4, we can simplify it by subtracting 3x from both sides:
3x - 3x + 4 = 3x - 3x + 4
4 = 4
We can clearly see that both sides of the equation are equal. This means that any value of x will satisfy the equation. Therefore, this equation has infinite solutions, not no solution.
Next, let's solve the equation 4x + 3 = 3x + 3:
4x - 3x = 3 - 3
x = 0
In this case, we found a valid solution for x, which is x = 0. Therefore, this equation has a unique solution, not no solution.
Now, let's solve the equation 3x + 4 = 4x + 3:
3x - 4x = 3 - 4
-x = -1
x = 1
Again, we found a valid solution for x, which is x = 1. Therefore, this equation also has a unique solution, not no solution.
Finally, let's solve the equation 3x + 4 = 3x + 3 by subtracting 3x from both sides:
3x - 3x + 4 = 3x - 3x + 3
4 = 3
Here we can see that both sides of the equation are not equal. In fact, 4 is not equal to 3. Therefore, this equation has no solution.
To summarize, the equation that has no solution is 3x + 4 = 3x + 3.
4 months ago