document.write( "Question 59360This question is from textbook
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document.write( ": Data from 1988 through 2000 showing the percentage of Americans for and against the death penalty for a person convicted of a murder. The data can be modeled by the following system of equations:\r
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document.write( "13x + 12y = 992 The percent, y, in favor of the death penalty x is the years after 1988\r
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document.write( "-x + y = 16 The percent, y, against the death penalty x years after 1988\r
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document.write( "That is the information given here is the question:\r
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document.write( "Use the substitution method to determine in which year the percentage of American in favor of the death penalty will be the same as the percentage of Americans who oppose it. For that year, what percent will be for the death penalty and what percent will be against it?\r
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document.write( "This is written exactly like it is in the book.\r
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Algebra.Com's Answer #40676 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Data from 1988 through 2000 showing the percentage of Americans for and against the death penalty for a person convicted of a murder. The data can be modeled by the following system of equations: \n" ); document.write( ": \n" ); document.write( "13x + 12y = 992 The percent, y, in favor of the death penalty x is the years after 1988 \n" ); document.write( ": \n" ); document.write( "-x + y = 16 The percent, y, against the death penalty x years after 1988 \n" ); document.write( ":\r \n" ); document.write( "\n" ); document.write( "Use the substitution method to determine in which year the percentage of American in favor of the death penalty will be the same as the percentage of Americans who oppose it. For that year, what percent will be for the death penalty and what percent will be against it? \n" ); document.write( ": \n" ); document.write( "E1) 13x+12y=992 \n" ); document.write( "E2) -x+y=16 \n" ); document.write( "Solve E2 for y and substitute the result into E1 for y and solve for x. \n" ); document.write( "x-x+y=x+16 --->> y=x+16 \n" ); document.write( "13x+12(x+16)=992 \n" ); document.write( "13x+12x+192=992 \n" ); document.write( "25x+192=992 \n" ); document.write( "25x+192-192=992-192 \n" ); document.write( "25x=800 \n" ); document.write( "25x/25=800/25 \n" ); document.write( "x=32 \n" ); document.write( "Substitute this into E2 and solve for y \n" ); document.write( "-(32)+y=16 \n" ); document.write( "32-32+y=32+16 \n" ); document.write( "y=48 \n" ); document.write( "The solution is (x,y)=(32,48) \n" ); document.write( "x is the year after 1988, 1988+32=2020 \n" ); document.write( "y is the percentage, 48% for and against the death penalty. \n" ); document.write( "Happy Calculating!!!\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |