Solve for x: 5/x = 2

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Study for the 8th Grade FAST Mathematics Pre-Algebra Test. Enhance your skills with interactive flashcards and multiple choice questions, each containing hints and explanations to boost your comprehension and readiness for the exam. Get ready to ace your test!

Multiple Choice

Solve for x: 5/x = 2

Explanation:
When a fraction equals a number, clear the fraction by removing the denominator. Start with 5/x = 2. Multiply both sides by x to eliminate the x in the denominator: 5 = 2x. Then divide both sides by 2 to solve for x: x = 5/2. This value makes 5/x equal to 2, since 5 divided by (5/2) is 2.5? Wait—check: 5 ÷ (5/2) equals 5 × (2/5) = 2, which matches. So the solution is 5/2. If you plug in other values, they don’t give 2 (for example, x = 2 gives 5/2 = 2.5, x = 5 gives 1, x = -1 gives -5).

When a fraction equals a number, clear the fraction by removing the denominator. Start with 5/x = 2. Multiply both sides by x to eliminate the x in the denominator: 5 = 2x. Then divide both sides by 2 to solve for x: x = 5/2. This value makes 5/x equal to 2, since 5 divided by (5/2) is 2.5? Wait—check: 5 ÷ (5/2) equals 5 × (2/5) = 2, which matches. So the solution is 5/2. If you plug in other values, they don’t give 2 (for example, x = 2 gives 5/2 = 2.5, x = 5 gives 1, x = -1 gives -5).

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