document.write( "Question 57231: solve the system using the linear combination method: 5x+y=6 -5x+3y=-22 \n" ); document.write( "
Algebra.Com's Answer #39010 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
I didn't answer this yesterday because I wasn't positive that combination was the same thing as elimination or addition or subtraction methods, they call it so many things. However, since this is still here, I will tell you what I think you want. If I'm using the wrong method, I appologize.
\n" ); document.write( ":
\n" ); document.write( "Solve the system using the linear combination method:
\n" ); document.write( "Add the two equations together and the x's are eliminated.
\n" ); document.write( "5x+y=6
\n" ); document.write( "-5x+3y=-22
\n" ); document.write( "_________
\n" ); document.write( "4y=-16
\n" ); document.write( "4y/4=-16/4
\n" ); document.write( "y=-4
\n" ); document.write( "Substitute y=-4 into one of the original equations and solve for x:
\n" ); document.write( "5x+(-4)=6
\n" ); document.write( "5x-6=6
\n" ); document.write( "5x-6+6=6+6
\n" ); document.write( "5x=10
\n" ); document.write( "5x/5=10/5
\n" ); document.write( "x=2
\n" ); document.write( "The solution is (x,y)=(2,-4)
\n" ); document.write( "We can check our answers to be sure we're right by substituting (2,-4) into both equations and see if they both equal.
\n" ); document.write( "5(2)+(-4)=6
\n" ); document.write( "10-4=6
\n" ); document.write( "6=6 First equation checks out.
\n" ); document.write( "-5(2)+3(-4)=-22
\n" ); document.write( "-10-12=-22
\n" ); document.write( "-22=-22 Second equation checks out too. We're right!!!
\n" ); document.write( "Happy Calculating!!!
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