How many solutions does this equation have? 5h + 7 = 5h Choices: (A)no solution (B)one solution (C)infinitely many solutions

Subtract 5h: Subtract 5h from both sides of the equation to isolate the constant term on one side. 5h + 7 - 5h = 5h - 5h 7 = 0Analyze result: Analyze the resulting statement. The equation 7 = 0 is never true because 7 is not equal to 0. This means there are no values of h that can satisfy the equation.Conclude solutions: Conclude the number of solutions based on the analysis. Since there are no values of h that can make the equation true, the equation has no solution.

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How many solutions does this equation have? $\newline$ $5h + 7 = 5h$ $\newline$ 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

5h + 7 = 5h

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Subtract $5$ h: Subtract $5h$ from both sides of the equation to isolate the constant term on one side. $\newline$ $5h + 7 - 5h = 5h - 5h$ $\newline$ $7 = 0$
Analyze result: Analyze the resulting statement. $\newline$ The equation $7 = 0$ is never true because $7$ is not equal to $0$ . $\newline$ This means there are no values of $h$ that can satisfy the equation.
Conclude solutions: Conclude the number of solutions based on the analysis. $\newline$ Since there are no values of $h$ that can make the equation true, the equation has no solution.