Respuesta :
Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation. A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. Whatever we do to one side, has to be done on the opposite side.
[tex]9|4p + 2| + 8 = 35[/tex]
[tex] 9|4p+2|=35-8 [/tex] [tex]Subtract \ 8 \ from \ both \ sides[/tex]
[tex]9|4p+2|=27 [/tex]
[tex]|4p+2|= \dfrac{27}{9} [/tex] [tex]Divide \ both \ sides \ by \ 9[/tex]
[tex]|4p+2|=3[/tex]
[tex]Break \ down \ the \ problem \ into \ these \ 2 \ equations[/tex]
[tex] 4p+2=3 [/tex]
[tex]-(4p+2)=3[/tex]
[tex]Solve \ the \ 1st \ equation: \ 4p+2=3[/tex]
[tex]4p=3-2[/tex] [tex]Subtract \ 2 \ from \ both \ sides[/tex]
[tex]4p=1[/tex]
[tex]p= \dfrac{1}{4} [/tex] [tex]Divide \ both \ sides \ by \ 4[/tex]
[tex]Solve \ the \ 2nd \ equation: \ -(4p+2)=3[/tex]
[tex]-4p−2=3[/tex] [tex]Simplify \ brackets[/tex]
[tex]-4p=3+2[/tex] [tex]Add \ 2 \ to \ both \ sides[/tex]
[tex]-4p=5[/tex]
[tex]p= -\dfrac{5}{4} [/tex]
[tex]Collect \ all \ solutions[/tex]
[tex]p= -\dfrac{5}{4} [/tex] , [tex]p= \dfrac{1}{4} [/tex]
[tex]9|4p + 2| + 8 = 35[/tex]
[tex] 9|4p+2|=35-8 [/tex] [tex]Subtract \ 8 \ from \ both \ sides[/tex]
[tex]9|4p+2|=27 [/tex]
[tex]|4p+2|= \dfrac{27}{9} [/tex] [tex]Divide \ both \ sides \ by \ 9[/tex]
[tex]|4p+2|=3[/tex]
[tex]Break \ down \ the \ problem \ into \ these \ 2 \ equations[/tex]
[tex] 4p+2=3 [/tex]
[tex]-(4p+2)=3[/tex]
[tex]Solve \ the \ 1st \ equation: \ 4p+2=3[/tex]
[tex]4p=3-2[/tex] [tex]Subtract \ 2 \ from \ both \ sides[/tex]
[tex]4p=1[/tex]
[tex]p= \dfrac{1}{4} [/tex] [tex]Divide \ both \ sides \ by \ 4[/tex]
[tex]Solve \ the \ 2nd \ equation: \ -(4p+2)=3[/tex]
[tex]-4p−2=3[/tex] [tex]Simplify \ brackets[/tex]
[tex]-4p=3+2[/tex] [tex]Add \ 2 \ to \ both \ sides[/tex]
[tex]-4p=5[/tex]
[tex]p= -\dfrac{5}{4} [/tex]
[tex]Collect \ all \ solutions[/tex]
[tex]p= -\dfrac{5}{4} [/tex] , [tex]p= \dfrac{1}{4} [/tex]
