How many solutions does this equation have? 7g = 4 + 6g Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable g: Isolate the variable g on one side of the equation. 7g - 6g = 4Simplify equation: Simplify the equation by combining like terms. (7-6)g = 4 g = 4Check solution: Check if the solution g = 4 satisfies the original equation. 7(4) = 4 + 6(4) 28 = 4 + 24 28 = 28Conclude one solution: Since the solution g = 4 satisfies the original equation, we can conclude that there is one solution to 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? $\newline$ $7g = 4 + 6g$ $\newline$ 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

7g = 4 + 6g

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Isolate variable $g$ : Isolate the variable $g$ on one side of the equation. $7g - 6g = 4$
Simplify equation: Simplify the equation by combining like terms. $\newline$ $(7-6)g = 4$ $\newline$ $g = 4$
Check solution: Check if the solution $g = 4$ satisfies the original equation. $7(4) = 4 + 6(4)$ $28 = 4 + 24$ $28 = 28$
Conclude one solution: Since the solution $g = 4$ satisfies the original equation, we can conclude that there is one solution to the equation.