객관식
Is the following a rational expression or equation?
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8. Rational Expressions and Equations
Rational Equations
Multiple Choice
Solve the equation.
A
B
C
D
No solution
검증된 단계별 안내1
Identify the given equation: \(\frac{-5}{x+4} - 3 = \frac{x-1}{x+4}\).
Notice that the denominators on both fractions are the same, \(x+4\), so we should consider the domain restriction: \(x \neq -4\) to avoid division by zero.
To eliminate the fractions, multiply every term in the equation by the common denominator \((x+4)\) to clear the denominators.
After multiplying, simplify the resulting equation by distributing and combining like terms carefully.
Solve the simplified equation for \(x\) and then check if the solutions satisfy the original equation and the domain restriction; if none do, conclude that there is no solution.