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Determine whether the following statement is sometimes, always, or never true: equations like ๐ plus 10 equals 11 and 16 minus ๐ equals three have only one solution.
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Letโs look closely at these two equations: ๐ plus 10 equals 11 and 16 minus ๐ equals three.
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Here weโre dealing with addition and subtraction.
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The key here is that our variables are taken to the first power.
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We donโt have anything squared.
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We donโt have any form of absolute value.
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And that means that there is only one solution for both ๐ and ๐.
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In equations like this, we often called them one-step equations.
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The equations will only have one solution.
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This statement is always true.