How many solutions does this equation have? –9t − 2 = –8t Choices: (A)no solution (B)one solution (C)infinitely many solutions

Isolate variable t: Isolate the variable t on one side of the equation. –9t − 2 = –8t Add 9t to both sides to move all terms involving t to one side. –9t + 9t − 2 = –8t + 9t –2 = tAdd to both sides: Check if the equation makes sense after isolating the variable. Since we have isolated t and found that t = –2, this means there is one specific value for t that makes the equation true.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

How many solutions does this equation have? $\newline$ $-9t - 2 = -8t$ $\newline$ 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

-9t - 2 = -8t

\newline

Choices:

\newline

(A)no solution

\newline

(B)one solution

\newline

(C)infinitely many solutions

Isolate variable t: Isolate the variable $t$ on one side of the equation. $\newline$ $-9t - 2 = -8t$ $\newline$ Add $9t$ to both sides to move all terms involving $t$ to one side. $\newline$ $-9t + 9t - 2 = -8t + 9t$ $\newline$ $-2 = t$
Add to both sides: Check if the equation makes sense after isolating the variable. $\newline$ Since we have isolated $t$ and found that $t = -2$ , this means there is one specific value for $t$ that makes the equation true.