rjmatt608 rjmatt608
  • 16-11-2020
  • Mathematics
contestada

If "a" is a solution to the equation 5 + 6a
= 7a-3, then what is the value of 2a?

Respuesta :

absor201
absor201 absor201
  • 17-11-2020

Answer:

The value of 2a will be: 16

Step-by-step explanation:

Given the equation

[tex]5 + 6a = 7a-3[/tex]

subtract 5 from both sides

[tex]5+6a-5=7a-3-5[/tex]

[tex]6a=7a-8[/tex]

[tex]-a=-8[/tex]

Divide both sides by -1

[tex]\frac{-a}{-1}=\frac{-8}{-1}[/tex]

[tex]a=8[/tex]

As we know that [tex]a=8[/tex] is the solution to the equation.

Hence, the value of 2a will be:

[tex]2a = 2(8)[/tex]    ∵ [tex]a=8[/tex]

     [tex]= 16[/tex]

Therefore, the value of 2a will be: 16

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