document.write( "Question 677331: I am trying to help my son do 5 step method equations.
\n" ); document.write( "The question is
\n" ); 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.
\n" ); document.write( "Can someone help me so I know how to help him with the rest of his problems. Thanks, Kami
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Algebra.Com's Answer #420835 by aaronwiz(69)\"\" \"About 
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.
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