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Which of the following are algebric equa...

Which of the following are algebric equations?
a. `2xx5-3=7`
b. `2x+6=12`
c. `(y)/(2)+1=5`
d. `(2)/(5)-(1)/(10)=(3)/(10)`

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The correct Answer is:
To determine which of the following are algebraic equations, we need to identify if the equations contain variables (like x or y). Let's analyze each option step by step. ### Step 1: Analyze Option a - **Equation**: `2xx5 - 3 = 7` - **Variables**: None (the expression `xx` appears to be a typo or misunderstanding and should be treated as a multiplication of 2 and 5). - **Conclusion**: This is not an algebraic equation. ### Step 2: Analyze Option b - **Equation**: `2x + 6 = 12` - **Variables**: Contains the variable `x`. - **Conclusion**: This is an algebraic equation. ### Step 3: Analyze Option c - **Equation**: `y/2 + 1 = 5` - **Variables**: Contains the variable `y`. - **Conclusion**: This is an algebraic equation. ### Step 4: Analyze Option d - **Equation**: `2/5 - 1/10 = 3/10` - **Variables**: None (all numbers are constants). - **Conclusion**: This is not an algebraic equation. ### Final Conclusion The algebraic equations from the options provided are: - **Option b**: `2x + 6 = 12` - **Option c**: `y/2 + 1 = 5` ### Summary of Results - **Algebraic Equations**: b and c - **Not Algebraic Equations**: a and d
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