document.write( "Question 74613: substitution method
\n" ); document.write( "-x+3y=10
\n" ); document.write( "2x+8y=-6
\n" ); document.write( "I need help with this problem if anyone could help, I would appreciate it.
\n" ); document.write( "Thanks!
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Algebra.Com's Answer #53640 by ptaylor(2198)\"\" \"About 
You can put this solution on YOUR website!
substitution method
\n" ); document.write( "-x+3y=10----------------------eq 1
\n" ); document.write( "2x+8y=-6-------------------------eq2\r
\n" ); document.write( "\n" ); document.write( "solve for x in eq 1 and plug the value for x into eq 2:\r
\n" ); document.write( "\n" ); document.write( "-x+3y=10 subtract 3y from both sides\r
\n" ); document.write( "\n" ); document.write( "-x+3y-3y=10-3y
\n" ); document.write( "-x=10-3y multiply both sides by -1
\n" ); document.write( "x=3y-10 plug this into eq2\r
\n" ); document.write( "\n" ); document.write( "2(3y-10)+8y=-6 get rid of parens\r
\n" ); document.write( "\n" ); document.write( "6y-20+8y=-6 add 20 to both sides and collect like terms
\n" ); document.write( "14y-20+20=-6+20
\n" ); document.write( "14y=14 divide both sides by 14
\n" ); document.write( "y=1 substitute y=1 into eq 2-----------------------------ans for y
\n" ); document.write( "2x+8(1)=-6
\n" ); document.write( "2x+8=-6 subtract 8 from both sides
\n" ); document.write( "2x+8-8=-6-8 collect like terms
\n" ); document.write( "2x=-14 divide both sides by 2
\n" ); document.write( "x=-7---------------------------------------------ans for x\r
\n" ); document.write( "\n" ); document.write( "CK
\n" ); document.write( "-x+3y=10----------------------eq 1
\n" ); document.write( "7+3=10
\n" ); document.write( "10=10\r
\n" ); document.write( "\n" ); document.write( "2x+8y=-6-------------------------eq2
\n" ); document.write( "2*(-7)+8=-6
\n" ); document.write( "-14+8=-6
\n" ); document.write( "-6=-6\r
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\n" ); document.write( "\n" ); document.write( "Hope this helps-----ptaylor\r
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