Question

37

Answer 1

\(\large \color{black}{\begin{align} 3x-2=5x-6\hspace{.33em}\\~\\
\end{align}}\)

first add \(-5x\) on both sides.

Answer 2

yea same

Answer 3

\(\large \color{black}{\begin{align} -2x-2=-6\hspace{.33em}\\~\\
\end{align}}\)

now add \(2\) on both sides.

Answer 4

correct

Answer 5

now for second equation

Answer 6

correct

Answer 7

now for third equation

Answer 8

\(\large \color{black}{\begin{align} \dfrac{x+1}{5}=\dfrac{2x-2}{6}\hspace{.33em}\\~\\
\end{align}}\)

multiply \(30\) on both sides
\(30\) is lcm of \(5\) and \(6\)

Answer 9

\(\large \color{black}{\begin{align} 30\times \dfrac{x+1}{5}=30\times\dfrac{2x-2}{6}\hspace{.33em}\\~\\
\end{align}}\)

Answer 10

first simplify \(\dfrac{30}{5}\)

Answer 11

\(\large \color{black}{\begin{align} 6\times (x+1)=30\times\dfrac{2x-2}{6}\hspace{.33em}\\~\\
\end{align}}\)

now simplify \(\dfrac{30}{6}\) on RHS sides

Answer 12

right hand side

Answer 13

yep solve this now

\(\large \color{black}{\begin{align} 6(x+1)=5(2x-2)\hspace{.33em}\\~\\
\end{align}}\)

Answer 14

\(\large \color{black}{\begin{align} 6x+6=10x-10\hspace{.33em}\\~\\
\end{align}}\)

add \(-10x\) on both sides

Answer 15

no

\(\large \color{black}{\begin{align} -4x+6&=-10\hspace{.33em}\\~\\
-4x&=-16\hspace{.33em}\\~\\
x&=4
\end{align}}\)

Answer 16

now compare the the 3 solutions and think which are same

Answer 17

so no one has same solution