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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:

Step1: Cross-multiply to eliminate fractions

$(x-5)\times(-3)=(x-1)\times2$

Step2: Expand both sides

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

Step3: Rearrange terms to collect x

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

Step4: Simplify both sides

$-5x = -17$

Step5: Solve for x

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

Answer:

$x=1$