Question

A straight line is parallel to the lines 3x - y - 3 = 0 and 3x - y + 5 = 0 and lies between
them. Find the equation of the line if its distances from these lines are in the ratio 3: 5.
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Answer 1

Answer:

$3x - y - 3 = 0 \\ 3x = y + 3 \\ x = y + 3 \div 3 \\ x = y + 1 \\ \\ \\3x - y + 5 = 0 \\ 3x = y - 5 \\ x = y - 5 \div 3$