How many solutions does this equation have? –3s = –7 − 3s Choices: (A)no solution (B)one solution (C)infinitely many solutions

Write Equation: Write down the given equation. –3s = –7 − 3sAdd Terms: Add 3s to both sides of the equation to move all terms involving s to one side. –3s + 3s = –7 − 3s + 3sSimplify Equation: Simplify both sides of the equation. 0 = –7Analyze Simplified: Analyze the simplified equation. The equation 0 = –7 is never true, regardless of the value of s.Conclude Solutions: Conclude how many solutions the equation has based on the analysis. Since 0 = –7 is a false statement, it means that there are no values of s that can satisfy the equation.

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How many solutions does this equation have? $\newline$ $-3s = -7 - 3s$ $\newline$ 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

-3s = -7 - 3s

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Write Equation: Write down the given equation. $\newline$ $-3s = -7 - 3s$
Add Terms: Add $3s$ to both sides of the equation to move all terms involving $s$ to one side. $\newline$ $-3s + 3s = -7 - 3s + 3s$
Simplify Equation: Simplify both sides of the equation. $\newline$ $0 = -7$
Analyze Simplified: Analyze the simplified equation. $\newline$ The equation $0 = -7$ is never true, regardless of the value of $s$ .
Conclude Solutions: Conclude how many solutions the equation has based on the analysis. $\newline$ Since $0 = -7$ is a false statement, it means that there are no values of $s$ that can satisfy the equation.