document.write( "Question 386322: I need help to show me how to work out the use the substitution to solve the equations and state if it has no solution or infinitely many solutions: 2x+7y=3 x=1-4y \n" ); document.write( "
Algebra.Com's Answer #273106 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! I need help to show me how to work out the use the substitution to solve the equations and state if it has no solution or infinitely many solutions: 2x+7y=3 x=1-4y \n" ); document.write( "----------------- \n" ); document.write( "Substitute for \"x\" and solve for \"y\": \n" ); document.write( "2(1-4y) + 7y = 3 \n" ); document.write( "------- \n" ); document.write( "2 - 8y + 7y = 3 \n" ); document.write( "2 -y = 3 \n" ); document.write( "y = 2-3 \n" ); document.write( "y = -1 \n" ); document.write( "----- \n" ); document.write( "Since x = 1-4y, solve for \"x\": \n" ); document.write( "x = 1-4*(-1) \n" ); document.write( "x = 5 \n" ); document.write( "----- \n" ); document.write( "Check the answer: \n" ); document.write( "2x+7y=3 \n" ); document.write( "2(5)+7(-1) = 3 \n" ); document.write( "10-7 = 3 \n" ); document.write( "3 = 3 \n" ); document.write( "============== \n" ); document.write( "Solution: (5,-1) \n" ); document.write( "====================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |