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Which of the following equations have exactly one solution?


Choose all answers that apply:


A -103x-6 = -6x - 103

B -62 -6 = -6x- 103

C -62 -6 = 103x - 103

D: 103c -6 = 103x - 103




QUICK PLEASE!

Which of the following equations have exactly one solution Choose all answers that apply A 103x 6 6x 103 B 62 6 6x 103 C

Answer :

Equations A and C have exactly one solution, while equations B and D have no solution.

To determine which equations have exactly one solution, we need to analyze their properties.

A. -103x - 6 = -6x - 103: This equation can be simplified by combining like terms to yield -97x - 6 = -103. By further simplifying, we find -97x = -97, and upon dividing by -97, we get x = 1. This equation has one solution, x = 1.

B. -6x - 6 = -6x - 103: Subtracting -6x from both sides, we obtain -6 = -103, which is a contradiction. This equation has no solution.

C. -6x - 6 = 103x - 103: By combining like terms, we get -6 = 109x - 103. Then, adding 103 to both sides, we have 97 = 109x. Dividing by 109 gives x ≈ 0.8899. This equation has one solution.

D. 103x - 6 = 103x - 103: Subtracting 103x from both sides, we obtain -6 = -103, which is a contradiction. This equation has no solution.

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Rewritten by : Barada

A: -103x-6=-6x-103 and C: -6x-6=103x-103