document.write( "Question 242759: solve the system for all soulutions usin any suitable method y=3x+2 and x-2y=11 \n" ); document.write( "
Algebra.Com's Answer #177723 by blwinbbbles(106)\"\" \"About 
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so let's use the elimination method:\r
\n" ); document.write( "\n" ); document.write( "y = 3x + 2
\n" ); document.write( "x - 2y =11\r
\n" ); document.write( "\n" ); document.write( "Set both equations to y\r
\n" ); document.write( "\n" ); document.write( "(1) y = 3x + 2
\n" ); document.write( "(2) -2y = -x + 11\r
\n" ); document.write( "\n" ); document.write( "lets choose the y to eliminate, when we add the two equations together\r
\n" ); document.write( "\n" ); document.write( "so we need to make the y in equation 1 be the exact opposite of the y in equation 2...the best way to achieve this is to multiple equation 1 by the number 2, giving us\r
\n" ); document.write( "\n" ); document.write( "(1) 2y = 6x + 4
\n" ); document.write( "(2) -2y = -x + 11\r
\n" ); document.write( "\n" ); document.write( "then adding the equations we get:
\n" ); document.write( " 0 = 5x + 15\r
\n" ); document.write( "\n" ); document.write( "sbubtract 15 from both sides
\n" ); document.write( " -15 = 5x
\n" ); document.write( "divide by 5 on both sides\r
\n" ); document.write( "\n" ); document.write( " -3 = x\r
\n" ); document.write( "\n" ); document.write( "Use one of the original equations..and plug in -3 as x..\r
\n" ); document.write( "\n" ); document.write( "y = 3(-3) + 2
\n" ); document.write( "y = -9 + 2
\n" ); document.write( "y = -7\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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