document.write( "Question 342122: Would someone please help me? I am absolutely desparate and stuck on these two problems. I would appreciate any help I can get. Thanks\r
\n" ); document.write( "\n" ); document.write( "Solve by the elimination method
\n" ); document.write( "5r-6s=4
\n" ); document.write( "6r+5s=17\r
\n" ); document.write( "\n" ); document.write( "Solve by the substitution method
\n" ); document.write( "6x+7y=8
\n" ); document.write( "x=16-3y \n" ); document.write( "
Algebra.Com's Answer #244893 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Solve by the elimination method
\n" ); document.write( "5r-6s=4
\n" ); document.write( "6r+5s=17
\n" ); document.write( "We want to multiply one or both equations with values that will make the coefficient of one of the variables the same
\n" ); document.write( "In this system multiply the 1st equation by 5 and the 2nd equation by 6, we have:
\n" ); document.write( "25r - 30s = 20
\n" ); document.write( "36r + 30s = 102
\n" ); document.write( "-----------------Adding these eliminates s, find r
\n" ); document.write( "61r + 0 = 122
\n" ); document.write( "r = \"122%2F61\"
\n" ); document.write( "r = 2
\n" ); document.write( "Use the original 2nd equation to find s, replace r with 2
\n" ); document.write( "6(2) + 5s = 17
\n" ); document.write( "12 + 5s = 17
\n" ); document.write( "5s = 17 - 12
\n" ); document.write( "5s = 5
\n" ); document.write( "s = 1
\n" ); document.write( ":
\n" ); document.write( "Check solution by replacing r and s in the 1st original equation
\n" ); document.write( "5(2) - 6(1) = 4
\n" ); document.write( "10 - 6 = 4; confirms our solution of r=2, s=1
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Solve by the substitution method
\n" ); document.write( "Here we use one of the equation to substitute in the other equation
\n" ); document.write( "6x+7y=8
\n" ); document.write( "x=16-3y
\n" ); document.write( "We know that x = 16-3y, substitute (16-3y) for x in the 1st equation
\n" ); document.write( "6(16-3y) + 7y = 8
\n" ); document.write( "96 - 18y + 7y = 8
\n" ); document.write( "-18y + 7y = 8 - 96
\n" ); document.write( "-11y = -88
\n" ); document.write( "11y = 88; multiplied both sides by -1
\n" ); document.write( "y = \"88%2F11\"
\n" ); document.write( "y = 8
\n" ); document.write( ";
\n" ); document.write( "Find x using the 2nd equation, replace y with 8:
\n" ); document.write( "x = 16 - 3(8)
\n" ); document.write( "x = 16 - 24
\n" ); document.write( "x = -8
\n" ); document.write( ":
\n" ); document.write( "Check solution in the 1st equation replacing x and y
\n" ); document.write( "6(-8) + 7(8) = 8
\n" ); document.write( "-48 + 56 = 8; confirms our solution of x=-8, y=8
\n" ); document.write( ";
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\n" ); document.write( "Did this help you understand and relieve some of your desperation?
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\n" ); document.write( "We want you to succeed in this.
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