The number of integral values of $m$ so that the abscissa of the point of intersection of lines $3x + 4y = 9$ and $y = mx + 1$ is also an integer is:
Step-by-Step Solution
Key Concept: Substitute $y = mx + 1$ into $3x + 4y = 9$ to get $x = 5/(3 + 4m)$. For $x$ to be an integer, $(3 + 4m)$ must divide 5. List the divisors of 5 and check which give integer $m$.
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Correct Answer: (2)