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How many solutions does this equation have?\newline3h=10+3h3h = 10 + 3h\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions

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Find the number of solutions to a linear equationright chevron icon

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Q. How many solutions does this equation have?\newline3h=10+3h3h = 10 + 3h\newlineChoices:\newline(A)no solution\newline(B)one solution\newline(C)infinitely many solutions
  1. Subtract 33h: Subtract 3h3h from both sides of the equation to isolate the variable on one side.\newline3h−3h=10+3h−3h3h - 3h = 10 + 3h - 3h
  2. Simplify equation: Simplify both sides of the equation. 0=100 = 10
  3. Analyze result: Analyze the simplified equation.\newlineSince 00 does not equal 1010, this statement is false for any value of hh.\newlineTherefore, there are no values of hh that satisfy the equation.
  4. Conclude solutions: Conclude the number of solutions based on the analysis.\newlineSince there are no values of hh that satisfy the equation, the equation has no solution.

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