document.write( "Question 1152318: Use two equations in two variables to solve the application.\r
\n" ); document.write( "\n" ); document.write( "Two pairs of shoes and four pairs of socks cost $111, and three pairs of shoes and five pairs of socks cost $160. Find the cost of a pair of socks. \n" ); document.write( "
Algebra.Com's Answer #774323 by VFBundy(438)\"\" \"About 
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Cost of pair of socks = x
\n" ); document.write( "Cost of pair of shoes = y
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\n" ); document.write( "4x + 2y = 111
\n" ); document.write( "5x + 3y = 160
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\n" ); document.write( "Multiply the first equation by -1.5:
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\n" ); document.write( "-1.5(4x + 2y) = -1.5(111)
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\n" ); document.write( "-6x - 3y = -166.5
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\n" ); document.write( "Now, your two equations are:
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\n" ); document.write( "-6x - 3y = -166.5
\n" ); document.write( "5x + 3y = 160
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\n" ); document.write( "Add the two equations together:
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\n" ); document.write( "-x = -6.5
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\n" ); document.write( "Solve for x:
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\n" ); document.write( "x = 6.5
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\n" ); document.write( "Cost of pair of socks = x = 6.5...or $6.50
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