Complete the equation so that it has no solution.(1 point)
5x+12=__x+9
What goes in the blank?
Apologies for the mistake. Let's try again.
To make the equation have no solution, we need the equation to become contradictory or inconsistent. One way to achieve this is by setting the coefficients of x on both sides to be equal but the constant terms not equal.
Thus, the correct completion of the equation to have no solution is:
5x + 12 = 5x + 9
-13
That was wrong, do you have any other option
Thank you
You're welcome! If you have any more questions, feel free to ask.
To make the equation have no solution, we need to find a value to substitute in the blank that will result in an inconsistent equation.
Since we are looking for no solution, let's try to make the left side of the equation not equal to the right side.
The equation given is 5x + 12 = __x + 9.
If we choose a different value for the blank, the equation will still have a solution, so we need to choose a value that will result in no solution.
To do this, we need to choose a non-zero value for the blank.
If we choose 0 for the blank, we have 5x + 12 = 0x + 9, which simplifies to 5x + 12 = 9.
By subtracting 12 from both sides, we get 5x = -3.
Finally, dividing both sides by 5, we get x = -3/5.
Therefore, the number that goes in the blank to make the equation have no solution is 0.
To find the value that goes in the blank, we need to make the equation have no solution. In other words, we want to create an equation that is always false.
To achieve this, we need to make sure the coefficients of x on both sides of the equation are different. In the given equation, the coefficient of x on the left side is 5, while the coefficient on the right side is 1. We can see that these coefficients are different, so the equation already does not have a solution.
Therefore, nothing needs to go in the blank, and the equation remains as:
5x + 12 = x + 9