Question:
<p>If <span class="math-tex">\(({k}, 3)\)</span> is the point of intersection of the lines represented by <span class="math-tex">\({x}+{py}=6\)</span> and <span class="math-tex">\({x}=15\)</span>, then <span class="math-tex">\(({k}, {p})\)</span> will be:</p>
<p style="display:inline"><span class="math-tex">\((15,3)\)</span></p>
<p style="display:inline"><span class="math-tex">\((-15,3)\)</span></p>
<p style="display:inline"><span class="math-tex">\((15,-3)\)</span></p>
<p style="display:inline"><span class="math-tex">\((3,15)\)</span></p>
Step-by-Step Solution
Key Concept: The coordinates of a point of intersection must satisfy the equations of both lines, allowing you to solve for unknown parameters through direct substitution.
<p><span class="math-tex">$(15,-3)$</span></p>
Correct Answer: C