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)![]() ![]() ![]() 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!!! \n" ); document.write( " |