To have no solution, the equation must be a contradiction. In other words, the equation cannot be true for any value of x.
To create a contradiction, we need to make the left side of the equation equal to a different value than the right side.
To do this, we can choose a value for the blank that is not equal to the right side of the equation. Thus, the equation can be:
5x + 12 ≠ x + 9
Complete the equation so that it has no solution.(1 point)
5x+12= blank
x+9
solve for the blank
3 answers
still wrong
Apologies for the confusion.
To have no solution, we need to create an equation where both sides are not equal even if we solve for x.
To achieve this, we can subtract x and 9 from both sides, making the equation:
5x + 12 - x - 9 = 0
Combining like terms, we have:
4x + 3 = 0
To solve for x, we can subtract 3 from both sides and then divide by 4:
4x = -3
x = -3/4
Therefore, the equation that has no solution is:
5x + 12 = x + 9
To have no solution, we need to create an equation where both sides are not equal even if we solve for x.
To achieve this, we can subtract x and 9 from both sides, making the equation:
5x + 12 - x - 9 = 0
Combining like terms, we have:
4x + 3 = 0
To solve for x, we can subtract 3 from both sides and then divide by 4:
4x = -3
x = -3/4
Therefore, the equation that has no solution is:
5x + 12 = x + 9