How many solutions does this equation have? –t − 9 = –t Choices: (A)no solution (B)one solution (C)infinitely many solutions

Simplify Equation: Simplify the equation by adding t to both sides to cancel out the –t terms. –t + t − 9 = –t + t This simplifies to: −9 = 0Check Simplified Equation: Check if the simplified equation makes sense. −9 = 0 is not true for any value of t, as −9 will never equal 0.Determine Number of Solutions: Determine the number of solutions based on the simplified equation. Since −9 = 0 is never true, there are no values of t that satisfy the equation.

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How many solutions does this equation have? $\newline$ $-t - 9 = -t$ $\newline$ 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

Full solution

Q. How many solutions does this equation have?

\newline

-t - 9 = -t

\newline

Choices:

\newline

(A) no solution

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(B) one solution

\newline

Simplify Equation: Simplify the equation by adding $t$ to both sides to cancel out the $–t$ terms.$\newline$ $–t + t − 9 = –t + t$ $\newline$This simplifies to:$\newline$ $−9 = 0$
Check Simplified Equation: Check if the simplified equation makes sense. $\newline$ $-9 = 0$ is not true for any value of $t$ , as $-9$ will never equal $0$ .
Determine Number of Solutions: Determine the number of solutions based on the simplified equation. $\newline$ Since $-9 = 0$ is never true, there are no values of $t$ that satisfy the equation.