document.write( "Question 677331: I am trying to help my son do 5 step method equations.
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document.write( "The question is
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document.write( " A large soda costs $1 more than a hamburger. If 4 hamburges and 2 sodas cost $14, what is the cost of each? Show all steps.
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document.write( "Can someone help me so I know how to help him with the rest of his problems. Thanks, Kami \n" );
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Algebra.Com's Answer #420835 by aaronwiz(69)![]() ![]() ![]() You can put this solution on YOUR website! Hey Kami, \n" ); document.write( "My name is Aaron, and I am in 10th grade and am in honors trig and pre calc. I feel for you, and will do my best to help. What your son needs to do is set up a system of equations. \n" ); document.write( "Let s=large soda \n" ); document.write( "and h=hamburger\r \n" ); document.write( "\n" ); document.write( "first \"A large soda costs $1 more than a hamburger\" so... \n" ); document.write( "h+1=s\r \n" ); document.write( "\n" ); document.write( "next \"4 hamburges and 2 sodas cost $14\" so...\r \n" ); document.write( "\n" ); document.write( "4h+2s=14\r \n" ); document.write( "\n" ); document.write( "put it together, and you have a system of equations... \n" ); document.write( "h+1=s \n" ); document.write( "4h+2s=14\r \n" ); document.write( "\n" ); document.write( "I'm sure by now either you or your son can solve this, but just to be safe il finish it.\r \n" ); document.write( "\n" ); document.write( "Their are two ways to go about this either substitution or combinations/elimination method\r \n" ); document.write( "\n" ); document.write( "lets use substitution since we already have s=h+1\r \n" ); document.write( "\n" ); document.write( "substitute this into s for the second equation \n" ); document.write( "4h+2(h+1)=14\r \n" ); document.write( "\n" ); document.write( "4h+2h+2=14 \n" ); document.write( "6h=12 \n" ); document.write( "h=2\r \n" ); document.write( "\n" ); document.write( "plug this back into one of the original equations, ill use h+1=s\r \n" ); document.write( "\n" ); document.write( "(2)+1=s \n" ); document.write( "so s=3\r \n" ); document.write( "\n" ); document.write( "thus a hamburger is $2 and a soda is $3 \n" ); document.write( "Hope I helped, good luck to you and your son. Positive feedback is always appreciated. \n" ); document.write( " \n" ); document.write( " |