Question

What is the value a and b in The equation a(3x -8)=b-18x

Answer 1

Answer:

$a=\frac{b-18x}{3x-8}\\b=3ax-8a+18x$

Step-by-step explanation:

Solving for A:

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

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

$a = \frac{b-18x}{3x-8}$ - Simplify

Solving for B:

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

$3ax-8a=b-18x$ - Distribute the parenthesis (distributive property)

$3ax-8a+18x=b$ - Add 18x to both sides to isolate b