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

Subtract 3h: Subtract 3h from both sides of the equation to isolate the variable on one side. 3h - 3h = 10 + 3h - 3hSimplify equation: Simplify both sides of the equation. 0 = 10Analyze result: Analyze the simplified equation. Since 0 does not equal 10, this statement is false for any value of h. Therefore, there are no values of h that satisfy the equation.Conclude solutions: Conclude the number of solutions based on the analysis. Since there are no values of h that satisfy the equation, the equation has no solution.

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How many solutions does this equation have? $\newline$ $3h = 10 + 3h$ $\newline$ 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

Full solution

Q. How many solutions does this equation have?

\newline

3h = 10 + 3h

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Subtract $3$ h: Subtract $3h$ from both sides of the equation to isolate the variable on one side. $\newline$ $3h - 3h = 10 + 3h - 3h$
Simplify equation: Simplify both sides of the equation. $0 = 10$
Analyze result: Analyze the simplified equation. $\newline$ Since $0$ does not equal $10$ , this statement is false for any value of $h$ . $\newline$ Therefore, there are no values of $h$ that satisfy the equation.
Conclude solutions: Conclude the number of solutions based on the analysis. $\newline$ Since there are no values of $h$ that satisfy the equation, the equation has no solution.