Subtitute the pair (3,28) to x and y, if the result in right side is -8, then the pair is a solution to the equation
2x - y/2
= 2(3) - 28/2
= 6 - 14
= -8
The result is -8, so the pair (3,28) is a solution
Answer:
Step-by-step explanation:
A hole is an input value that makes both numerator and denominator equal to zero.
<u>Let's factorize the numerator and denominator:</u>
- 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
- x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)
<u>We have same factor of x + 6:</u>
- x + 6 = 0
- x = - 6 is a hole
Combine the terms by multiplying into a single fraction.

Find the common denominator.

Combine fractions with the lowest common denominator.

Multiply the numbers.

Combine the multiplied terms into a single fraction

Find the common denominator.

Combine fractions with the lowest common denominator.

Multiply the numbers.

Eliminate the denominators of the fractions.

Cancel the multiplied terms that are in the denominator.

To distribute.

Add 28 to both sides.

Simplify

Subtract 3x from both sides.

Simplify

Divide both sides by the same factor.

Simplify

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<h3>Verification</h3>
Let x=12.









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