How many solutions does this equation have? 6h = 6h − 10 Choices: (A)no solution (B)one solution (C)infinitely many solutions

Analyze Equation: Analyze the equation 6h = 6h − 10. We start by looking at the equation and seeing if we can simplify or rearrange it in any way.Subtract to Isolate Variable: Subtract 6h from both sides of the equation to try to isolate the variable h. 6h - 6h = 6h - 10 - 6h This simplifies to: 0 = -10Evaluate Simplified Equation: Evaluate the simplified equation. The equation 0 = -10 is a contradiction because 0 can never equal -10. This means that there is no value of h that can satisfy the equation.Conclude Number of Solutions: Conclude the number of solutions based on the contradiction. Since we have a contradiction, 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? $\newline$ $6h = 6h - 10$ $\newline$ 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

6h = 6h - 10

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Analyze Equation: Analyze the equation $6h = 6h - 10$ . $\newline$ We start by looking at the equation and seeing if we can simplify or rearrange it in any way.
Subtract to Isolate Variable: Subtract $6h$ from both sides of the equation to try to isolate the variable $h$ . $\newline$ $6h - 6h = 6h - 10 - 6h$ $\newline$ This simplifies to: $\newline$ $0 = -10$
Evaluate Simplified Equation: Evaluate the simplified equation. $\newline$ The equation $0 = -10$ is a contradiction because $0$ can never equal $-10$ . This means that there is no value of $h$ that can satisfy the equation.
Conclude Number of Solutions: Conclude the number of solutions based on the contradiction. Since we have a contradiction, the equation has no solution.