How many solutions does this equation have? 6 + 5q = 5q Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze Equation: Analyze the equation 6 + 5q = 5q. We want to find out if there are any values of q that make this equation true.Subtract to Isolate: Subtract 5q from both sides of the equation to isolate the constant term. 6 + 5q - 5q = 5q - 5q This simplifies to: 6 = 0Determine Validity: Determine if the simplified equation makes sense. The equation 6 = 0 is never true because 6 is not equal to 0. This means there are no values of q that satisfy the equation.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

How many solutions does this equation have? $\newline$ $6 + 5q = 5q$ $\newline$ 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

6 + 5q = 5q

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze Equation: Analyze the equation $6 + 5q = 5q$ . We want to find out if there are any values of $q$ that make this equation true.
Subtract to Isolate: Subtract $5q$ from both sides of the equation to isolate the constant term. $\newline$ $6 + 5q - 5q = 5q - 5q$ $\newline$ This simplifies to: $\newline$ $6 = 0$
Determine Validity: Determine if the simplified equation makes sense. $\newline$ The equation $6 = 0$ is never true because $6$ is not equal to $0$ . $\newline$ This means there are no values of $q$ that satisfy the equation.