Respuesta :
Solving an equation means finding the value of x which will make the equation true.
We need to undo whatever is done to x to get it by itself.
[tex] 4(x-1)-x = 3(x + 5)-11\\Distributing \; 4 \; and \; 3 \; in \; right \; and \; left \; side \; of \; the \; equation\\\\ 4x-4-x=3x+15-11\\Combine \; like \; terms\\\\3x-4=3x+4\\Subtract \; 3x \; on \; both \; sides\\\\3x-3x-4=3x-3x+4\\ Combine \; like \; terms\\\\-4=4 [/tex]
Conclusion:
Since we end up with an equation which is not TRUE, there is NO solution for this equation. If we graph both the equations, they will end up as a parallel lines which will never meet.
The work shown to find the solution of variable is correct and value of [tex]x[/tex] doesn't exists.
Step-by-step explanation:
Given: Lily begins solving the equation [tex]4(x-1)-x=3(x+5)-11\\[/tex].
As per question,
Work done by lily is shown here as:
[tex]4(x-1)-x=3(x+5)-11 \\4x-4-x = 3x + 15 -11\\3x-4=3x+4[/tex]
Here, value of variable [tex]x[/tex] cant be determined as after solving it to next step the variable vanishes each other.
Therefore, the work shown to find the solution of variable is correct.
Learn more about solving linear equation here:
https://brainly.com/question/11897796?referrer=searchResults
