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Complete the equation so that it has no solution.(1 point) 5x+12= x+9Question
Complete the equation so that it has no solution.(1 point)
5x + 12 = blankx + 9
5x + 12 = blankx + 9
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GPT-4o mini
To create an equation that has no solution, we need to make the left-hand side and the right-hand side parallel lines, meaning they will never intersect. This can be accomplished by ensuring the coefficients of \(x\) are the same on both sides, but the constant terms differ.
Let's take the given equation:
\[ 5x + 12 = \text{blank}x + 9 \]
We can set the coefficient of \(x\) on the right side to 5, so that it becomes:
\[ 5x + 12 = 5x + 9 \]
Now, rearranging gives us:
\[ 12 \neq 9 \]
Since this is a contradiction, the original equation \(5x + 12 = 5x + 9\) has no solution.
So, the blank can be filled with 5:
\[ 5x + 12 = 5x + 9 \]
This equation has no solution.
Let's take the given equation:
\[ 5x + 12 = \text{blank}x + 9 \]
We can set the coefficient of \(x\) on the right side to 5, so that it becomes:
\[ 5x + 12 = 5x + 9 \]
Now, rearranging gives us:
\[ 12 \neq 9 \]
Since this is a contradiction, the original equation \(5x + 12 = 5x + 9\) has no solution.
So, the blank can be filled with 5:
\[ 5x + 12 = 5x + 9 \]
This equation has no solution.
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