Art of Problem Solving
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2014 AMC 10A Problems/Problem 21: Difference between revisions

Created page with "==Problem== Positive integers <math>a</math> and <math>b</math> are such that the graphs of <math>y=ax+5</math> and <math>y=3x+b</math> intersect the <math>x</math>-axis at the s..."
 
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<math> \textbf{(A)}\ {-20}\qquad\textbf{(B)}\ {-18}\qquad\textbf{(C)}\ {-15}\qquad\textbf{(D)}\ {-12}\qquad\textbf{(E)}\ {-8} </math>
<math> \textbf{(A)}\ {-20}\qquad\textbf{(B)}\ {-18}\qquad\textbf{(C)}\ {-15}\qquad\textbf{(D)}\ {-12}\qquad\textbf{(E)}\ {-8} </math>
==Solution==
==See Also==
{{AMC10 box|year=2014|ab=A|num-b=20|num-a=22}}
{{MAA Notice}}

Revision as of 22:20, 6 February 2014

Problem

Positive integers $a$ and $b$ are such that the graphs of $y=ax+5$ and $y=3x+b$ intersect the $x$-axis at the same point. What is the sum of all possible $x$-coordinates of these points of intersection?

$\textbf{(A)}\ {-20}\qquad\textbf{(B)}\ {-18}\qquad\textbf{(C)}\ {-15}\qquad\textbf{(D)}\ {-12}\qquad\textbf{(E)}\ {-8}$

Solution

See Also

2014 AMC 10A (ProblemsAnswer KeyResources)
Preceded by
Problem 20
Followed by
Problem 22
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All AMC 10 Problems and Solutions

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