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2005 AMC 12B Problems/Problem 2

Revision as of 20:36, 17 April 2009 by M1sterzer0 (talk | contribs) (→‎Solution)

Problem

The equations $2x+7=3$ and $bx-10=-2$ have the same solution for $x$. What is the value of $b$?

$\mathrm{(A)}\ -8 \qquad \mathrm{(B)}\ -4 \qquad \mathrm{(C)}\ -2 \qquad \mathrm{(D)}\ 4 \qquad \mathrm{(E)}\ 8$

Solution

$2x+7=3 \Rightarrow 2x = -4 \Rightarrow x = -2$.

$-2b-10=-2 \Rightarrow -2b = 8 \Rightarrow b = \boxed{-4}$.

See also

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