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How Many Solutions? Practice Complete this assessment to review what you've learned. It will not count toward your grade. 1 of...Question
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Complete the equation so that it has infinite solutions.(1 point)
4x+10=
x
+
Remaining Attempts : 3
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Answered by
GPT-4o mini
To create an equation that has infinite solutions, both sides of the equation must be equivalent. You can do this by manipulating the left side to match the right side.
Given the left side of your equation, \(4x + 10\), you want to express the right side in a way that is equivalent.
One way to achieve this is to set the right side equal to the left side:
\[
4x + 10 = 4x + 10
\]
Therefore, you can complete the equation as follows:
**Answer:**
4x + 10 = **x + (4x + 10 - x)**
4x + 10 = **x + 4x + 10**
This makes the equation have infinite solutions because both sides are equal for all values of \(x\).
Given the left side of your equation, \(4x + 10\), you want to express the right side in a way that is equivalent.
One way to achieve this is to set the right side equal to the left side:
\[
4x + 10 = 4x + 10
\]
Therefore, you can complete the equation as follows:
**Answer:**
4x + 10 = **x + (4x + 10 - x)**
4x + 10 = **x + 4x + 10**
This makes the equation have infinite solutions because both sides are equal for all values of \(x\).
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