Question

Cool Down: Solving Rational Equations

Show that
=
10
4+x
is equivalent to 12x = 32 for all values of x not equal to 4 or -4.

Answer 1

To show equivalence between the rational expression and the equation, we find a common denominator and simplify the rational expression to solve for x.

Step-by-step explanation:

To show that (10/(4+x)) is equivalent to (12x = 32) for all values of x not equal to 4 or -4, we need to find a common denominator and simplify the rational expression. By multiplying both sides of the equation (12x = 32) by (4+x) and simplifying, we get 10 = 12x - 32x. Simplifying further, we get -22x = -22, and solving for x, we find x = 1.

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