How many solutions does this equation have? 2 + 10t = 10t Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze Equation: Analyze the equation 2 + 10t = 10t. We need to determine if there are any values of t that make this equation true.Subtract to Isolate Constant: Subtract 10t from both sides of the equation to isolate the constant term. 2 + 10t - 10t = 10t - 10t This simplifies to: 2 = 0Check Simplified Equation: Determine if the simplified equation makes sense. The equation 2 = 0 is never true, as 2 is not equal to 0. This means there are no values of t that will satisfy the equation.Conclude Number of Solutions: Conclude the number of solutions based on the previous step. Since there are no values of t that satisfy the equation, the equation has no solution.

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How many solutions does this equation have? $\newline$ $2 + 10t = 10t$ $\newline$ 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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2 + 10t = 10t

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Choices:

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(A)no solution

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(B)one solution

\newline

(C)infinitely many solutions

Analyze Equation: Analyze the equation $2 + 10t = 10t$ . We need to determine if there are any values of $t$ that make this equation true.
Subtract to Isolate Constant: Subtract $10t$ from both sides of the equation to isolate the constant term. $\newline$ $2 + 10t - 10t = 10t - 10t$ $\newline$ This simplifies to: $\newline$ $2 = 0$
Check Simplified Equation: Determine if the simplified equation makes sense. $\newline$ The equation $2 = 0$ is never true, as $2$ is not equal to $0$ . $\newline$ This means there are no values of $t$ that will satisfy the equation.
Conclude Number of Solutions: Conclude the number of solutions based on the previous step. $\newline$ Since there are no values of $t$ that satisfy the equation, the equation has no solution.