document.write( "Question 993548: What is the ordered pair for x+y=160 and x=4y+30
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Algebra.Com's Answer #612795 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "What is the ordered pair for x+y=160 and x=4y+30? \n" ); document.write( "-----------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You are lucky! You just have x expressed via y: x=4y+30.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now substitute it into the first equation. In this way you will exclude x and will obtain a single equation for y only:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(4y+30) + y = 160.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Simplify and solve it:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5y = 130,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now substitute the found value of y into the second equation of the original system to get x:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 4*26 + 30 = 104 + 30 = 134.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer. x = 134, y = 26.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |