How many solutions does this equation have? 3h = 3h + 10 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze Equation: Analyze the equation 3h = 3h + 10. We need to determine if there are any values of h that make this equation true.Subtract to Isolate Constant: Subtract 3h from both sides of the equation to isolate the constant term. 3h - 3h = 3h + 10 - 3h 0 = 10Evaluate Subtraction Result: Evaluate the result of the subtraction. Since 0 does not equal 10, this statement is false. This means there are no values of h that can satisfy the equation.Conclude Number of Solutions: Conclude the number of solutions based on the result. Since the equation 0 = 10 is never true, the original equation 3h = 3h + 10 has no solution.

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How many solutions does this equation have? $\newline$ $3h = 3h + 10$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

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Math Problems

Algebra 1

Find the number of solutions to a linear equation

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Q. How many solutions does this equation have?

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3h = 3h + 10

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Choices:

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(A)no solution

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(B)one solution

\newline

(C)infinitely many solutions

Analyze Equation: Analyze the equation $3h = 3h + 10$ . We need to determine if there are any values of $h$ that make this equation true.
Subtract to Isolate Constant: Subtract $3h$ from both sides of the equation to isolate the constant term. $\newline$ $3h - 3h = 3h + 10 - 3h$ $\newline$ $0 = 10$
Evaluate Subtraction Result: Evaluate the result of the subtraction. $\newline$ Since $0$ does not equal $10$ , this statement is false. $\newline$ This means there are no values of $h$ that can satisfy the equation.
Conclude Number of Solutions: Conclude the number of solutions based on the result. $\newline$ Since the equation $0 = 10$ is never true, the original equation $3h = 3h + 10$ has no solution.