How many solutions does the equation have?
Simplify both sides. If the x terms are the same and the numbers match, every x works (infinite). If the numbers differ, no x works (none). Otherwise there is one solution.
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How many solutions does the equation x + 5 = 3x − 10 have? Write one, none or infinite.
Answer: one
How many solutions does the equation −5x − 5 = −5x − 2 have? Write one, none or infinite.
Answer: none
How many solutions does the equation −5x + 12 = −5x + 15 have? Write one, none or infinite.
Answer: none
Tip: Simplify both sides. If the x terms are the same and the numbers match, every x works (infinite). If the numbers differ, no x works (none). Otherwise there is one solution.
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