trinellsims89 trinellsims89
  • 21-08-2020
  • Mathematics
contestada

Solves the following equation for a. Show steps for full credit.
4a + 10 = 2a + 26

Respuesta :

TheAnimeGirl
TheAnimeGirl TheAnimeGirl
  • 21-08-2020

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = 8}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4a + 10 = 2a + 26}[/tex]

Move 2a to left hand side and change it's sign

Similarly, move 10 to right hand side and change it's sign

⇒[tex] \sf{4a - 2a =26 - 10}[/tex]

Collect like terms

⇒[tex] \sf{2a = 26 - 10}[/tex]

Subtract 10 from 26

⇒[tex] \sf{2a = 16}[/tex]

Divide both sides of the equation by 2

⇒[tex] \sf{ \frac{2a}{2} = \frac{16}{2} }[/tex]

Calculate

⇒[tex] \sf{a = 8}[/tex]

Hope I helped!

Best regards!!

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