document.write( "Question 260387: elimination by addition method for (4x+7y=-16 and 6x+-y=-24) to get x and y \n" ); document.write( "
Algebra.Com's Answer #192116 by ankor@dixie-net.com(22740)\"\" \"About 
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elimination by addition method for (4x+7y=-16 and 6x+-y=-24) to get x and y
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\n" ); document.write( "4x + 7y = -16
\n" ); document.write( "6x + -y = -24
\n" ); document.write( ":
\n" ); document.write( "Multiply the 2nd equation by 7 and add to the 1st equation
\n" ); document.write( " 4x + 7y = -16
\n" ); document.write( "42x - 7y = -168
\n" ); document.write( "-------------------addition eliminates y, find x
\n" ); document.write( "46x = -184
\n" ); document.write( "x = \"%28-184%29%2F46\"
\n" ); document.write( "x = -4
\n" ); document.write( ":
\n" ); document.write( "Find y using the 1st equation, replace x with -4
\n" ); document.write( "4(-4) + 7y = -16
\n" ); document.write( "-16 + 7y = -16
\n" ); document.write( "7y = -16 + 16
\n" ); document.write( "7y = 0
\n" ); document.write( "y = 0
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\n" ); document.write( "Check solution in 2nd equation\r
\n" ); document.write( "\n" ); document.write( "6x + -y = -24
\n" ); document.write( "6(-4) - 0 = -24
\n" ); document.write( "-24 = -24; confirms our solutions
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