document.write( "Question 852609: Is the order pair (3,8) a solution to the system of equations 2x+y=14. 3x-2y=7
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document.write( "Why or why not show your work please \n" );
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Algebra.Com's Answer #513542 by harpazo(655)![]() ![]() You can put this solution on YOUR website! In the point (3,8), x = 3 and y = 8. \r \n" ); document.write( "\n" ); document.write( "When I replace x with 3 and y with 8 in both equations given and do the math, the answer is not the same on both sides of the linear equations. So, the point (3,8) is not a solution to this system of linear equations. \r \n" ); document.write( "\n" ); document.write( "The Prove\r \n" ); document.write( "\n" ); document.write( "Let x = 3 \n" ); document.write( "Let y = 8\r \n" ); document.write( "\n" ); document.write( "2x+y=14\r \n" ); document.write( "\n" ); document.write( "2(3) + 8 = 14\r \n" ); document.write( "\n" ); document.write( "6 + 8 = 14\r \n" ); document.write( "\n" ); document.write( "14 = 14\r \n" ); document.write( "\n" ); document.write( "It works for this equation. Let us now do the same with the other equation. \r \n" ); document.write( "\n" ); document.write( "3x-2y=7\r \n" ); document.write( "\n" ); document.write( "3(3) - 2(8) = 7\r \n" ); document.write( "\n" ); document.write( "9 - 16 = 7\r \n" ); document.write( "\n" ); document.write( "-7 DOES NOT = 7\r \n" ); document.write( "\n" ); document.write( "Since the point (3,8) does not produce the same answer on both sides of each equation, the given point is not a solution to this system of linear equations.\r \n" ); document.write( "\n" ); document.write( "Understand?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |