How many solutions does this equation have? 4 − 4h = –4h Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze Equation: Analyze the equation 4 − 4h = –4h. We want to determine if there are any values of h that make this equation true.Simplify Equation: Simplify the equation by moving all terms involving h to one side. Subtracting -4h from both sides gives us: 4 − 4h + 4h = –4h + 4h This simplifies to: 4 = 0Determine Validity: Determine if the simplified equation makes sense. The equation 4 = 0 is never true, as 4 does not equal 0. This means there are no values of h that satisfy the equation.Conclude Solutions: Conclude the number of solutions based on the previous step. 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? $\newline$ $4 - 4h = -4h$ $\newline$ 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?

\newline

4 - 4h = -4h

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze Equation: Analyze the equation $4 - 4h = -4h$ . We want to determine if there are any values of $h$ that make this equation true.
Simplify Equation: Simplify the equation by moving all terms involving $h$ to one side. $\newline$ Subtracting $-4h$ from both sides gives us: $\newline$ $4 - 4h + 4h = -4h + 4h$ $\newline$ This simplifies to: $\newline$ $4 = 0$
Determine Validity: Determine if the simplified equation makes sense. $\newline$ The equation $4 = 0$ is never true, as $4$ does not equal $0$ . $\newline$ This means there are no values of $h$ that satisfy the equation.
Conclude Solutions: Conclude the number of solutions based on the previous step. Since there are no values of $h$ that satisfy the equation, the equation has no solution.