Respuesta :
[tex]\begin{gathered} 4x+2(x-3)=4x+2x-11 \\ \end{gathered}[/tex]
Part A:
Use distributive property on the left hand side:
[tex]\begin{gathered} 4x+2x-6=4x+2x-11 \\ \end{gathered}[/tex]Add like terms:
[tex]6x-6=6x-11[/tex]Add 6 to both sides:
[tex]\begin{gathered} 6x-6+6=6x-11+6 \\ 6x=6x-5 \end{gathered}[/tex]Subtract 6x from both sides:
[tex]\begin{gathered} 6x-6x=6x-6x-5 \\ 0=-5 \\ False \end{gathered}[/tex]Therefore, the equation has no solution
Part B:
Addition Property of Equality
If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal.
