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  • 13-02-2020
  • Mathematics
contestada

What is the value a and b in
The equation

a(3x -8)=b-18x

Respuesta :

maggie3772
maggie3772 maggie3772
  • 13-02-2020

Answer:

[tex]a=\frac{b-18x}{3x-8}\\b=3ax-8a+18x[/tex]

Step-by-step explanation:

Solving for A:

[tex]a(3x-8)=b-18x[/tex] - Given

[tex]\frac{a(3x-8)}{(3x-8)}=\frac{b-18x}{(3x-8)}[/tex] - Divide both sides by 3x-8 to isolate a

[tex]a = \frac{b-18x}{3x-8}[/tex] - Simplify

Solving for B:

[tex]a(3x-8)=b-18x[/tex] - Given

[tex]3ax-8a=b-18x[/tex] - Distribute the parenthesis (distributive property)

[tex]3ax-8a+18x=b[/tex] - Add 18x to both sides to isolate b

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