document.write( "Question 105198: Hello out there,I need some help with some tough problems,the first one is,Which of the following points are solutions to:2x-3y<0 and x+y>4 (2,3),(0,1)or(1,4).The next one is,Determine whether the system has one solution,no solution,or infinitely many solutions:y=2/3x and 2x-y=-4.The third one is,State whether the system is consistent and independent,consistent and dependent,or inconsistent:x+y=4 and 2x-y=-7.And the last one is,State whether the system is consistent and independent,consistent and dependent,or inconsistent:4x+2y=8 and 2x+y=1.Thanks to whoever can help. \n" ); document.write( "
Algebra.Com's Answer #76627 by elima(1433)![]() ![]() ![]() You can put this solution on YOUR website! Which of the following points are solutions to:2x-3y<0 and x+y>4 (2,3),(0,1)or(1,4). \n" ); document.write( "You need to replace the x and y with the points given and see which one solves both equations; \n" ); document.write( "2(2)-3(3),0 \n" ); document.write( "4-9<0 \n" ); document.write( "-3<0 - yes \n" ); document.write( "2(0)-3(1)<0 \n" ); document.write( "0-3<0 \n" ); document.write( "-3<0 - yes \n" ); document.write( "2(1)-3(4)<0 \n" ); document.write( "2-12<0 \n" ); document.write( "-10<0 - yes \n" ); document.write( "All three are solutions \n" ); document.write( "======================== \n" ); document.write( "The next one is,Determine whether the system has one solution,no solution,or infinitely many solutions:y=2/3x and 2x-y=-4. \n" ); document.write( "You need to graph, and when they are graphed you see they cross at one point, so they only have one solution \n" ); document.write( " \n" ); document.write( "====================================================== \n" ); document.write( "The third one is,State whether the system is consistent and independent,consistent and dependent,or inconsistent:x+y=4 and 2x-y=-7. \n" ); document.write( "Again you need to graph and if they cross at one point- consistent, the same line- Dependant, parallel lines- inconsistent. These lines cross at one point, so they are consistent \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And the last one is,State whether the system is consistent and independent,consistent and dependent,or inconsistent:4x+2y=8 and 2x+y=1.Thanks to whoever can help. \n" ); document.write( "Same rules as the other, these lines are parallel, so they are inconsistent \n" ); document.write( ":) \n" ); document.write( " |