Respuesta :

carlosego
To answer the question, we must find c of the equation:
 ax + b = a (x + c)
 If we divide by "a" on both sides we have to:
 x + b / a = x + c
 For values of "a" other than zero.
 So:
 c = b / a.
 So that the affirmation of Jamal Be true c = b / a

Answer:

[tex]c=\frac{b}{a}[/tex]

Step-by-step explanation:

We have been given an equation [tex]ax+b=a(x+c)[/tex], given that a, b and c are not equal to 0.    

Let us solve for the value of c that will make Jamal's statement true.

Upon dividing both sides of our equation by a we will get,

[tex]\frac{ax+b}{a}=\frac{a(x+c)}{a}[/tex]

[tex]\frac{ax+b}{a}=x+c[/tex]

[tex]\frac{ax}{a}+\frac{b}{a}=x+c[/tex]

[tex]x+\frac{b}{a}=x+c[/tex]

Now, we will subtract x from both sides of our equation.

[tex]x-x+\frac{b}{a}=x-x+c[/tex]

[tex]\frac{b}{a}=c[/tex]

Therefore, the value of [tex]c=\frac{b}{a}[/tex] will make Jamal’s statement true.

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