Complete the equation so that it has no solution.(1 point)
−7x−12= x+12
The equation can be solved by combining like terms and isolating x on one side:
-7x - 12 = x + 12
Adding 7x to both sides:
-12 = 8x + 12
Subtracting 12 from both sides:
-24 = 8x
Dividing both sides by 8:
-3 = x
Therefore, the equation has a solution: x = -3.
To make the equation have no solution, we need to modify it.
By replacing the equals sign with the not equals sign, the equation becomes:
-7x - 12 ≠ x + 12
Well what goes in the blank!!
To make the equation have no solution, we can add the same number to both sides of the equation.
Adding 7x to both sides:
-7x + 7x - 12 = x + 7x + 12
Combining like terms:
-12 = 8x + 12
Next, we can add the same number to both sides again. Let's add 24 to both sides:
-12 + 24 = 8x + 12 + 24
Simplifying:
12 = 8x + 36
Now, if we continue to solve this equation, we can isolate x:
12 - 36 = 8x + 36 - 36
-24 = 8x
Dividing both sides by 8:
-3 = x
Therefore, the correct equation to have no solution is:
-7x - 12 = x + 7x + 12 + 24
Tell me what goes in the blank
−7x−12= __ x+12
To make the equation have no solution, we can subtract the same expression from both sides of the equation.
On the left side of the equation, we can subtract x from both terms:
-12 = -8x + 12
Now, the equation is:
-12 = -8x + 12
Since we want the equation to have no solution, we need to make both sides of the equation equal but different. One way to do this is to subtract 24 from both sides:
-36 = -8x
So, the equation with no solution would be:
-7x - 12 = -8x + 12 - 24
Well!!!
Apologies for the confusion. In order to have no solution, we can subtract x from both sides of the equation:
-7x - 12 - x = x + 12 - x
Simplifying both sides:
-8x - 12 = 12
To isolate x, we can add 12 to both sides:
-8x - 12 + 12 = 12 + 12
Simplifying:
-8x = 24
Finally, dividing both sides by -8:
x = -3
Therefore, it seems I made an error – the equation does have a solution, with x = -3. I apologize for the confusion caused by my previous responses.