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QUESTION IMAGE

b. \\(\\frac{x - 5}{-2} = \\frac{x - 1}{-3}\\)

Question

b. \\(\frac{x - 5}{-2} = \frac{x - 1}{-3}\\)

Explanation:

Response

Step5: Divide by -5: $x=\frac{17}{5}=3.4$

Final corrected answer:

Step1: Cross-multiply to eliminate denominators

$(x-5)(-3)=(x-1)(2)$

Step2: Expand both sides

$-3x + 15 = 2x - 2$

Step3: Gather $x$ terms on left side

$-3x - 2x = -2 - 15$

Step4: Combine like terms

$-5x = -17$

Step5: Solve for $x$

$x=\frac{-17}{-5}=\frac{17}{5}$

Answer:

$x=\frac{17}{5}$ or $x=3.4$