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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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$.