Complete the equation so that it has no solution.(1 point)
5x + 12 = ____x + 9
If we want the equation to have no solution, the equation must be an inconsistent equation, meaning the two sides of the equation cannot be equal to each other for any value of x.
To make the equation inconsistent, we need to have contradictory terms or constants on each side.
Let's try subtracting 5x from both sides to cancel out the x term on the left side:
5x - 5x + 12 = 0x + 9
This simplifies to:
12 = 9
However, 12 is not equal to 9, so the equation 5x + 12 = (something)x + 9 is inconsistent and has no solution.
it needs to have an answer though
I apologize for the confusion. In order for the equation to have no solution, we need to create a contradiction that is not mathematically possible.
Let's try subtracting the same term from both sides to keep the equation balanced:
5x + 12 - 12 = x + 9 - 12
This simplifies to:
5x = x - 3
Now let's subtract x from both sides to cancel out the x term on the right side:
5x - x = x - x - 3
This simplifies to:
4x = -3
Finally, let's divide both sides by 4 to solve for x:
4x/4 = -3/4
x = -3/4
So, by completing the equation as 5x + 12 = x - 3, we find that the solution to the equation is x = -3/4.
so what will go into the blank
Apologies for the previous incorrect response.
To make the equation have no solution, we need to create a contradiction. One way to do this is by setting the coefficients of x on each side of the equation as equal:
5x = x
However, this would mean that x is equal to 0, which would satisfy the equation.
To create a contradiction, we can set the coefficients of x on each side as unequal. Let's make the coefficient of x on the left side larger than the coefficient of x on the right side:
5x + 12 = 10x + 9
By setting the equation as 5x + 12 = 10x + 9, it has no solution.
It says that It's incorrect
Apologies once again. Let's try a different approach.
To have no solution, we need to create a contradiction in the equation. One way to do this is by setting the coefficients of x on each side equal but the constants unequal.
Let's set the coefficient of x on each side as equal:
5x = x
Now, we need to set the constants unequal. Since we want no solution, we need to choose constants that are not equal. Let's choose 12 and 9 as unequal constants:
5x + 12 = x + 9
By completing the equation as 5x + 12 = x + 9, it will have no solution.
Sorry but It's still incorrect
Apologies for the confusion. Let's try a different approach again.
To have no solution, we need to create a contradiction in the equation. One way to do this is by setting the coefficients of x on each side equal but the constants unequal.
Let's set the coefficient of x on each side as equal:
5x = x
Now, to create a contradiction, let's set the constants unequal. We want the equation to have no solution, so we can choose any two unequal constants. Let's choose 12 and -9 as unequal constants:
5x + 12 = x - 9
By completing the equation as 5x + 12 = x - 9, it will have no solution.
This is the question:
Complete the equation so that it has no solution.
5x + 12 = ____x + 9