document.write( "Question 782519: At what point (x, y) do the following functions intersect (if at all)? 5X + 3Y = 2 and 2.5X + 2Y = 3 \n" ); document.write( "

Algebra.Com's Answer #476431 by waynest(281) $\"\"$ $\"About$

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5X + 3Y = 2
\n" ); document.write( "-(2(2.5X) + 2(2Y) = 2(3)\r
\n" ); document.write( "\n" ); document.write( " 5X + 3Y = 2
\n" ); document.write( "-(5X + 4Y = 6)
\n" ); document.write( " -Y = -4
\n" ); document.write( " Y = 4\r
\n" ); document.write( "\n" ); document.write( "5X + 3(4) = 2
\n" ); document.write( "5X + 12 = 2
\n" ); document.write( "5X = 2 -12
\n" ); document.write( "5X = -10
\n" ); document.write( "X = -2\r
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "5(-2) + 3(4) = 2
\n" ); document.write( "-10 +12 = 2
\n" ); document.write( "2 = 2\r
\n" ); document.write( "\n" ); document.write( "2.5(-2) + 2(4) = 3
\n" ); document.write( "-5 + 8 = 3
\n" ); document.write( "3 = 3 \n" ); document.write( "

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