Question

i just want someone to double check me so that i know i am correct i believe the answer is equation 1 has less solutions than equation2
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


Equation #2

-5|3x - 2| = -15


|2x - 9| = 11

Answer 1

\[-5\left| 3x-2 \right|=-15\]
\[\left| 3x-2 \right|=3\]
\[3x-2=3\]
\[3x=5\] \[x=\frac{ 5 }{ 3 }\]
or
\[3x-2=-3\]
\[3x=-1\]
\[x=-\frac{ 1 }{ 3 }\]

Answer 2

\[\left| 2x-9 \right|=11\]
\[2x-9=11\]
\[2x=20\]
\[x=10\]
or
\[2x-9=-11\]
\[2x=-2\]
\[x=-1\]

Answer 3

both equations have two solutions

Answer 4

ooh so i was wrong , i knew something was up with my answer thank yo @le0n

Answer 5

you're welcome