How many solutions does this equation have? 5t = 4 + 5t Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze Equation: Analyze the equation 5t = 4 + 5t. We want to find out if there are any values of t that make this equation true.Subtract to Isolate t: Subtract 5t from both sides of the equation to try to isolate t. 5t - 5t = 4 + 5t - 5t This simplifies to: 0 = 4Evaluate Simplified Equation: Evaluate the simplified equation. The equation 0 = 4 is never true, as 0 does not equal 4. This means there are no values of t that 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 make the equation true, the equation has no solution.

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How many solutions does this equation have? $\newline$ $5t = 4 + 5t$ $\newline$ 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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5t = 4 + 5t

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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 $5t = 4 + 5t$ . We want to find out if there are any values of $t$ that make this equation true.
Subtract to Isolate $t$ : Subtract $5t$ from both sides of the equation to try to isolate $t$ . $\newline$ $5t - 5t = 4 + 5t - 5t$ $\newline$ This simplifies to: $\newline$ $0 = 4$
Evaluate Simplified Equation: Evaluate the simplified equation. $\newline$ The equation $0 = 4$ is never true, as $0$ does not equal $4$ . $\newline$ This means there are no values of $t$ that 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 make the equation true, the equation has no solution.