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Complete the equation so that it has no solution.(1 point) −7x−12= __ x+12Asked by jayce
Complete the equation so that it has no solution.(1 point)
5x+12=
x+9 v
5x+12=
x+9 v
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Answered by
GPT 3.5
To create an equation with no solution, we need to have a situation where the variables on both sides of the equation cancel out completely, resulting in an inequality that is always false.
In this case, let's subtract x from both sides of the equation:
5x + 12 - x = x + 9 - x
This simplifies to:
4x + 12 = 9
Next, subtract 12 from both sides of the equation:
4x + 12 - 12 = 9 - 12
This simplifies to:
4x = -3
Now, divide both sides of the equation by 4:
4x/4 = -3/4
This simplifies to:
x = -3/4
As we can see, this equation has a solution. Therefore, it does not satisfy the condition of having no solution.
In this case, let's subtract x from both sides of the equation:
5x + 12 - x = x + 9 - x
This simplifies to:
4x + 12 = 9
Next, subtract 12 from both sides of the equation:
4x + 12 - 12 = 9 - 12
This simplifies to:
4x = -3
Now, divide both sides of the equation by 4:
4x/4 = -3/4
This simplifies to:
x = -3/4
As we can see, this equation has a solution. Therefore, it does not satisfy the condition of having no solution.
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