document.write( "Question 1023068: use the 4 step method and 2 variables\r
\n" ); document.write( "\n" ); document.write( "If 10 pens and 15 pads of paper cost $26, and 5 pens and 10 pads cost $16, find the cost of a pen and a pad.\r
\n" ); document.write( "\n" ); document.write( "x=pen y=pad
\n" ); document.write( "10x + 15y =$26
\n" ); document.write( "5x + 10y =$16\r
\n" ); document.write( "\n" ); document.write( "-2(5x+10y=16)
\n" ); document.write( "-10x+-20y=-32\r
\n" ); document.write( "\n" ); document.write( "10x+15y=26
\n" ); document.write( "-10x+-20y=-32
\n" ); document.write( "-5y=-6
\n" ); document.write( "-5y=-5
\n" ); document.write( "y=6/5\r
\n" ); document.write( "\n" ); document.write( "5x+10(6/5)=16 5goes into 10 2times
\n" ); document.write( "5x+2*6=16
\n" ); document.write( "5x+12=16
\n" ); document.write( "5x-12=-12\r
\n" ); document.write( "\n" ); document.write( "5x=4
\n" ); document.write( "5 5
\n" ); document.write( "x=4/5\r
\n" ); document.write( "\n" ); document.write( "I come up with fractions this does not seem right.
\n" ); document.write( "

Algebra.Com's Answer #638599 by josgarithmetic(39630)\"\" \"About 
You can put this solution on YOUR website!
x, price for one pen
\n" ); document.write( "y, price for one pad\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"system%2810x%2B15y=26%2C5x%2B10y=16%29\"-----same as the system you found.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Your work appears to be the use of Elimination Method, at least part of the way. Multiply the 16 equation by 2:
\n" ); document.write( "\"system%2810x%2B15y=26%2C10x%2B20y=32%29\"----the equivalent system.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Add the opposite of the 26 equation to the 32 equation.
\n" ); document.write( "\"-%2810x%2B15y%29%2B%2810x%2B20y%29=-26%2B32\"
\n" ); document.write( "\"5y=6\"
\n" ); document.write( "\"highlight%28y=6%2F5%29\", which means \"y=1%261%2F5\", or $1 20cents for one pad of paper.\r
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\n" ); document.write( "\n" ); document.write( "Now what is x?
\n" ); document.write( "Go to either of the ORIGINAL equations to find x. Now you know y.
\n" ); document.write( "\"10x%2B15y=26\"
\n" ); document.write( "\"10x=26-15y\"
\n" ); document.write( "\"10x=26-15%286%2F5%29\"
\n" ); document.write( "\"10x=26-3%2A6\"
\n" ); document.write( "\"10x=26-18\"
\n" ); document.write( "\"10x=8\"
\n" ); document.write( "\"5x=4\"
\n" ); document.write( "\"highlight%28x=4%2F5%29\"--------which means 80 cents for a pencil.
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