The equation 5x + 7 = 4x +8+X-1 is true for all real numbers. Substitute a few real numbers for x to see that this is so and the

Question

labwork [276]

2 years ago

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The equation 5x + 7 = 4x +8+X-1 is true for all real numbers. Substitute a few real numbers for x to see that this is so and the

n try solving the
equation. Describe what happens.

Mathematics

1 answer:

Mariulka [41] · Answer 1 · 2023-03-16T00:38:54+03:00

Answer:

With rational equations we must first note the domain, which is all real numbers except and . That is, these are the values of that will cause the equation to be undefined. Since the least common denominator of , , and is , we can mulitply each term by the LCD to cancel out the denominators and reduce the equation to . Combining like terms, we end up with . Dividing both sides of the equation by the constant, we obtain an answer of . However, this solution is NOT in the domain. Thus, there is NO SOLUTION because is an extraneous answer.