document.write( "Question 871241: The total question is the following:
\n" ); document.write( "Graph the inequalities 9x+8y<72 and -7x-4y<=28 to find their solution set. Also, find their point of intersection. I also had to choose a graphing method for 9x+8y<72. I found the slope to be -9/8 with the y intercept being 0, 9. I then had to find a graphing method for -7x-4y<=28. I found that the slope was -7/4 and the y-intercept was 0,-7. I am unable to find the x and y coordinates of the intersection points.
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Algebra.Com's Answer #525411 by josgarithmetic(39620)\"\" \"About 
You can put this solution on YOUR website!
You can treat the two inequalities as equations and find that point of intersection. \r
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\n" ); document.write( "\n" ); document.write( "\"8y=-9x%2B72\"
\n" ); document.write( "\"y=%28-9x%2B72%29%2F8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"-4y=7x%2B28\"
\n" ); document.write( "\"y=%287x%2B28%29%2F%28-4%29\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"%28-9x%2B72%29%2F8=%287x%2B28%29%2F%28-4%29\"
\n" ); document.write( "\"%2872-9x%29%2F8=%287x%2B28%29%2F%28-4%29\"
\n" ); document.write( "mult b.s. by 8
\n" ); document.write( "\"72-9x=-2%287x%2B28%29\"
\n" ); document.write( "\"72-9x=14x-56\"
\n" ); document.write( "\"72%2B56=14x%2B9x\"
\n" ); document.write( "23x=
\n" ); document.write( "\"highlight%28x=128%2F23%29\", meaning \"highlight%28y=63%2F23%29\"\r
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\n" ); document.write( "\n" ); document.write( "Does that point satisfy the inequality system?
\n" ); document.write( "9x+8y<72 AND -7x-4y<=28
\n" ); document.write( "9(128/23)+8(63/23)<72 AND -7(128/23)-4(63/23)<=28 ?
\n" ); document.write( "IF BOTH TRUE, then you include this intersection point; otherwise exclude this point.\r
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