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

Analyze Equation: Analyze the equation –9c − 9 = –9c. We want to determine if there are any values of c that make this equation true.Add Constant Term: Add 9c to both sides of the equation to isolate the constant term. –9c − 9 + 9c = –9c + 9c This simplifies to: −9 = 0Check for Errors: Check the simplified equation for errors. The equation −9 = 0 is not true for any value of c, as the constants on both sides of the equation do not match.Conclude Number of Solutions: Conclude the number of solutions based on the simplified equation. Since −9 ≠ 0, there are no values of c that can satisfy the equation. Therefore, the equation has no solution.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

How many solutions does this equation have? $\newline$ $-9c - 9 = -9c$ $\newline$ Choices: $\newline$ (A)no solution $\newline$ (B)one solution $\newline$ (C)infinitely many solutions

View step-by-step help

Home

Math Problems

Algebra 1

Find the number of solutions to a linear equation

Full solution

Q. How many solutions does this equation have?

\newline

-9c - 9 = -9c

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze Equation: Analyze the equation $–9c − 9 = –9c$ . We want to determine if there are any values of $c$ that make this equation true.
Add Constant Term: Add $9c$ to both sides of the equation to isolate the constant term. $\newline$ $-9c - 9 + 9c = -9c + 9c$ $\newline$ This simplifies to: $\newline$ $-9 = 0$
Check for Errors: Check the simplified equation for errors. $\newline$ The equation $−9 = 0$ is not true for any value of $c$ , as the constants on both sides of the equation do not match.
Conclude Number of Solutions: Conclude the number of solutions based on the simplified equation. $\newline$ Since $-9 \neq 0$ , there are no values of $c$ that can satisfy the equation. Therefore, the equation has no solution.