allisongao9819 allisongao9819
  • 15-04-2019
  • Mathematics
contestada

Jamal states that ax + b = a(x + c), given a, b, and c are not equal to 0. What must be the value of c for Jamal's statement to be true?

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 25-04-2019

ANSWER

For Jamal statement to be true,

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

EXPLANATION

The given statement is:

ax + b = a(x + c)

We expand the left hand side to obtain,

ax + b = ax + ac

Subtract ax from from both sides of the equation.

b=ac

We know that, a≠0 , so we can divide through by 'a'.

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

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