Question

if x is not equal to 3, which of the following is equivalent to (5x)/(x-3)=8+(12/(x-3))

Answer 1

Answer:

Given:

x+2

1

+

x+3

1

1

=

(x+3)(x+2)

x+3+x+2

1

=

x

2

+5x+6

2x+5

1

=

2x+5

x

2

+5x+6

Answer 2

The correct answer is 4.

Given: The equation = $\frac{5x}{x-3}=8+\frac{12}{x-3}$.

To Find: The value of x.

Solution:

$\frac{5x}{x-3}=8+\frac{12}{x-3}$

$\frac{5x}{x-3}=\frac{8(x-3)+12}{x-3}$

$\frac{5x}{x-3}=\frac{8x-24+12}{x-3}$

As given in question that x is not equal to 3 so we can cancel (x-3) from denominator.

5x = 8x - 12

3x = 12

x = 4.

Hence, the value of x is 4.

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