1986 AIME Problems/Problem 4

Problem

Determine $\displaystyle 3x_4+2x_5$ if $\displaystyle x_1$ , $\displaystyle x_2$ , $\displaystyle x_3$ , $\displaystyle x_4$ , and $\displaystyle x_5$ satisfy the system of equations below.

$\displaystyle 2x_1+x_2+x_3+x_4+x_5=6$ $\displaystyle x_1+2x_2+x_3+x_4+x_5=12$ $\displaystyle x_1+x_2+2x_3+x_4+x_5=24$ $\displaystyle x_1+x_2+x_3+2x_4+x_5=48$ $\displaystyle x_1+x_2+x_3+x_4+2x_5=96$

Solution

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1986 AIME (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15
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1986 AIME Problems/Problem 4

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