document.write( "Question 852609: Is the order pair (3,8) a solution to the system of equations 2x+y=14. 3x-2y=7
\n" ); document.write( "Why or why not show your work please
\n" ); document.write( "

Algebra.Com's Answer #513542 by harpazo(655)\"\" \"About 
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( "
\n" );