How many solutions does this equation have? –d − 7 = –d Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze the equation: Analyze the equation –d − 7 = –d. We want to find out if there are any values of d that make this equation true.Add d to isolate terms: Add d to both sides of the equation to isolate the constant terms. –d + d − 7 = –d + d This simplifies to: −7 = 0Check for errors: Check the simplified equation for any errors. The equation −7 = 0 is not true for any value of d, as −7 will never equal 0.Conclude number of solutions: Conclude the number of solutions based on the simplified equation. Since −7 ≠ 0, there are no values of d that can satisfy the equation. Therefore, the equation has no solution.

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How many solutions does this equation have? $\newline$ $-d - 7 = -d$ $\newline$ 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

-d - 7 = -d

\newline

Choices:

\newline

(A) no solution

\newline

(B) one solution

\newline

Analyze the equation: Analyze the equation $–d − 7 = –d$ . We want to find out if there are any values of $d$ that make this equation true.
Add $d$ to isolate terms: Add $d$ to both sides of the equation to isolate the constant terms. $\newline$ $−d + d − 7 = −d + d$ $\newline$ This simplifies to: $\newline$ $−7 = 0$
Check for errors: Check the simplified equation for any errors. $\newline$ The equation $−7 = 0$ is not true for any value of $d$ , as $−7$ will never equal $0$ .
Conclude number of solutions: Conclude the number of solutions based on the simplified equation. $\newline$ Since $-7 \neq 0$ , there are no values of $d$ that can satisfy the equation. Therefore, the equation has no solution.