How many solutions does this equation have? 3q = 8 + 3q Choices: (A)no solution (B)one solution (C)infinitely many solutions

Write Equation: Write down the given equation. 3q = 8 + 3qSubtract to Isolate q: Subtract 3q from both sides to try to isolate the variable q. 3q - 3q = 8 + 3q - 3qSimplify Both Sides: Simplify both sides of the equation. 0 = 8Analyze Simplified Equation: Analyze the simplified equation. The equation 0 = 8 is never true, regardless of the value of q.Conclude Number of Solutions: Conclude how many solutions the equation has. Since 0 = 8 is a false statement, it means that there are no values of q that can satisfy the equation. Therefore, the equation has no solution.

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How many solutions does this equation have? $\newline$ $3q = 8 + 3q$ $\newline$ 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

3q = 8 + 3q

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Write Equation: Write down the given equation. $\newline$ $3q = 8 + 3q$
Subtract to Isolate q: Subtract $3q$ from both sides to try to isolate the variable $q$ . $\newline$ $3q - 3q = 8 + 3q - 3q$
Simplify Both Sides: Simplify both sides of the equation. $0 = 8$
Analyze Simplified Equation: Analyze the simplified equation. $\newline$ The equation $0 = 8$ is never true, regardless of the value of $q$ .
Conclude Number of Solutions: Conclude how many solutions the equation has. $\newline$ Since $0 = 8$ is a false statement, it means that there are no values of $q$ that can satisfy the equation. Therefore, the equation has no solution.