document.write( "Question 508559: Please!!I need help. I have to solve the following systems by method of my choice.\r
\n" ); document.write( "\n" ); document.write( "#1 14x + 2y = 10 and x - 5y = 11\r
\n" ); document.write( "\n" ); document.write( "#2 2x + 3y= 12 and x-y = 13
\n" ); document.write( "

Algebra.Com's Answer #341061 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
solve the following systems by method of my choice.
\n" ); document.write( "#1 14x + 2y = 10
\n" ); document.write( " x - 5y = 11
\n" ); document.write( "Use the 2nd equation for substitution
\n" ); document.write( "x = (5y + 11)
\n" ); document.write( "Replace x in the 1st equation
\n" ); document.write( "14(5y+11) + 2y = 10
\n" ); document.write( "70y + 154 + 2y = 10
\n" ); document.write( "70 + 2y = 10 - 154
\n" ); document.write( "72y = -144
\n" ); document.write( "y = \"%28-144%29%2F72\"
\n" ); document.write( "y = -2
\n" ); document.write( "use the 1s equation to find x
\n" ); document.write( "14x + 2(-2) = 10
\n" ); document.write( "14x = 10 + 4
\n" ); document.write( "14x = 14
\n" ); document.write( "x = \"14%2F14\"
\n" ); document.write( "x = 1
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 2nd equation
\n" ); document.write( "x - 5y = 11
\n" ); document.write( "1 - 5(-2) = 11
\n" ); document.write( "1 + 10 = 11
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "#2 2x + 3y= 12
\n" ); document.write( " x - y = 13
\n" ); document.write( "Multiply the 2nd equation by 3
\n" ); document.write( "2x + 3y = 12
\n" ); document.write( "3x - 3y = 39
\n" ); document.write( "---------------addition eliminates y, find x
\n" ); document.write( "5x = 51
\n" ); document.write( "x = \"51%2F5\"
\n" ); document.write( "x = 10.2
\n" ); document.write( "use the 2nd equation to find y
\n" ); document.write( "10.2 - y = 13
\n" ); document.write( "-y = 13 - 10.2
\n" ); document.write( "-y = 2.8
\n" ); document.write( "y = -2.8
\n" ); document.write( ":
\n" ); document.write( "Check solutions in the 1st equation
\n" ); document.write( "2x + 3y = 12
\n" ); document.write( "2(10.2) + 3(-2.8) = 12
\n" ); document.write( "20.4 - 8.4 = 12
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