document.write( "Question 199905: Hello, I need some help here. The following problem is getting me all messed up and I am not sure what I am doing wrong. The problem is: I have to\r
\n" );
document.write( "\n" );
document.write( "Solve the system of equations using the substitution method.
\n" );
document.write( "If the answer is a unique solution, present it as an ordered pair: (x,y). If not, specify whether the answer is \"no solution\" or \"infinitely many solutions\" and state how you arrived at that conclusion.
\n" );
document.write( "-7x + y = 4
\n" );
document.write( "2x + 8y = 0\r
\n" );
document.write( "\n" );
document.write( "Please help me!!!!!\r
\n" );
document.write( "\n" );
document.write( "Thank you in advance. \n" );
document.write( "
Algebra.Com's Answer #150275 by RAY100(1637) ![]() You can put this solution on YOUR website! (1) -7x +y =4,,,,,,or y = 4+7x \n" ); document.write( ". \n" ); document.write( "(2) 2x +8y =0 \n" ); document.write( ". \n" ); document.write( "subst from (1) into (2),, 2x + 8(4+7x) =0 \n" ); document.write( ". \n" ); document.write( "2x +32+56x =0 \n" ); document.write( ". \n" ); document.write( "58x =-32 \n" ); document.write( ". \n" ); document.write( "x=-32/58 = - .552 \n" ); document.write( ". \n" ); document.write( "subst in (1),, y = 4 + 7(-.552) = .138 \n" ); document.write( ". \n" ); document.write( "check by subst into originals \n" ); document.write( ". \n" ); document.write( "(1) -7(-.552) +(.138) =4,,,, 3.864 +.138 = 4,,,ok \n" ); document.write( ". \n" ); document.write( "(2) 2(-.552) +8 (.138) = -1.104 +1.104 =0,,,,,ok \n" ); document.write( ". \n" ); document.write( "info, if there were \" no solutions\" it would mean that the lines were \" parallel\", and never intersect. If you didn\"t recognize this from equal slopes, doing the math would result in a statement that is \"always not true\" , such as 6=7 \n" ); document.write( ". \n" ); document.write( "if there were infinite solutions, the lines would be \" coincident\" , or lay on top of each other. If this was not recognized the math would result in a statement that is \" always true\", such as 6=6. \n" ); document.write( " |