How many solutions does this equation have? 7h = 7h − 10 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze Equation: Analyze the equation 7h = 7h − 10. We start by looking at the equation and trying to simplify or rearrange it to find the value of h.Subtract to Isolate h: Subtract 7h from both sides of the equation to try to isolate h. 7h - 7h = 7h - 10 - 7h This simplifies to: 0 = -10Evaluate Simplification: Evaluate the result of the simplification. The equation 0 = -10 is a contradiction because 0 cannot equal -10. This means that there is no value of h that can satisfy the equation.Conclude No Solution: Conclude the number of solutions based on the contradiction. Since we have a contradiction, the equation has no solution.

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How many solutions does this equation have? $\newline$ $7h = 7h - 10$ $\newline$ 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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7h = 7h - 10

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Choices:

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(A)no solution

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(B)one solution

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(C)infinitely many solutions

Analyze Equation: Analyze the equation $7h = 7h - 10$ . $\newline$ We start by looking at the equation and trying to simplify or rearrange it to find the value of $h$ .
Subtract to Isolate $h$ : Subtract $7h$ from both sides of the equation to try to isolate $h$ . $\newline$ $7h - 7h = 7h - 10 - 7h$ $\newline$ This simplifies to: $\newline$ $0 = -10$
Evaluate Simplification: Evaluate the result of the simplification. $\newline$ The equation $0 = -10$ is a contradiction because $0$ cannot equal $-10$ . This means that there is no value of $h$ that can satisfy the equation.
Conclude No Solution: Conclude the number of solutions based on the contradiction. Since we have a contradiction, the equation has no solution.