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which of the following equations has the correct solution? x-7=8;x=1 (x)/(5)=15;x=3 c 3(x-1)=6;x=3 (1)/(2)x+5=9;x=2

Question

Which of the following equations has the correct solution? x-7=8;x=1 (x)/(5)=15;x=3 C 3(x-1)=6;x=3 (1)/(2)x+5=9;x=2

Solution

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4.3 (210 Votos)
Fernando Mestre · Tutor por 5 anos

Resposta

Let's solve each equation step by step to determine which one has the correct solution:A) To solve for , we need to isolate it on one side of the equation. We can do this by adding 7 to both sides of the equation: Simplifying, we get: B) To solve for , we need to isolate it on one side of the equation. We can do this by multiplying both sides of the equation by 5: Simplifying, we get: C) To solve for , we need to distribute the 3 to the terms inside the parentheses: Next, we add 3 to both sides of the equation: Simplifying, we get: \frac{3x}{3} = \frac{9}{3} x = 3 \frac{1}{2}x + 5 = 9 x \frac{1}{2}x + 5 - 5 = 9 - 5 \frac{1}{2}x = 4 x \frac{1}{2}x \times 2 = 4 \times 2 x = 8 3(x - 1) = 6; x = 3$.