Question

Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution.

Equation #1: -5|3x - 2| = -15
Equation #2: |2x - 9| = 11

Equation #1 and Equation #2 have the same number of solutions.

Equation #1 has more solutions than equation #2.

Equation #1 has fewer solutions than equation #2.

None of the statements above describe the number of solutions to the equations shown.

Answer 1

i think the answer is the forst one. am i correct? @Hero @mathstudent55 @mathmath333 @jim_thompson5910

Answer 2

^first one

Answer 3

how many solutions does each equation have?

Answer 4

2

Answer 5

very good

Answer 6

a graph can help you see this (which I'm sure you probably used)

Answer 7

\(\large\tt \begin{align} \color{black}{-5|3x - 2| = -15\\~\\
|3x - 2| = 3\\~\\
\pm(3x - 2) = 3\\~\\
x=\dfrac{5}{3}~~or~~x=-\dfrac{1}{3}\\~\\~\\
|2x - 9| = 11\\~\\
\pm(2x - 9) = 11\\~\\
x=10~~or~~x=-1}\end{align}\)

Answer 8

That is exactly what I got! There are only 2 solutions for each equation right? That was all I needed to know.

Answer 9

yes and mathmath333 shows the actual solutions and how to get them

so A is correct

Answer 10

Thanks to all of you!

Answer 11

no problem