How many solutions does this equation have? 2t + 4 = 2t Choices: (A)no solution (B)one solution (C)infinitely many solutions

Subtract 2t: Subtract 2t from both sides of the equation to isolate the constant terms. 2t + 4 - 2t = 2t - 2tSimplify equation: Simplify both sides of the equation. 4 = 0Analyze result: Analyze the simplified equation. The statement 4 = 0 is never true, which means there are no values of t that can satisfy the equation.Conclude solutions: Conclude the number of solutions based on the analysis. Since there are no values of t that can make the equation true, the equation has no solution.

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How many solutions does this equation have? $\newline$ $2t + 4 = 2t$ $\newline$ 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

2t + 4 = 2t

\newline

Choices:

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(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Subtract $2t$ : Subtract $2t$ from both sides of the equation to isolate the constant terms. $\newline$ $2t + 4 - 2t = 2t - 2t$
Simplify equation: Simplify both sides of the equation. $4 = 0$
Analyze result: Analyze the simplified equation. $\newline$ The statement $4 = 0$ is never true, which means there are no values of $t$ that can satisfy the equation.
Conclude solutions: Conclude the number of solutions based on the analysis. $\newline$ Since there are no values of $t$ that can make the equation true, the equation has no solution.