document.write( "Question 1182581: Is the point (5,3) a solution to this nonlinear system?
\n" ); document.write( "1. x² - 3y = 34
\n" ); document.write( " 2x + y = 7 \n" ); document.write( "
Algebra.Com's Answer #812656 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "The point (5,3) means x = 5 and y = 3 pair up together.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Replace x and y with 5 and 3 in that order for each equation.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "We'll start with the first equation
\n" ); document.write( "x^2-3y = 34
\n" ); document.write( "5^2-3(3) = 34
\n" ); document.write( "25-9 = 34
\n" ); document.write( "16 = 34
\n" ); document.write( "We get a false statement at the end, so the given point is not a solution to the system.
\n" ); document.write( "Both equations must be true at the same time in order to get a solution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "For the sake of completeness, I'll show the other equation as well
\n" ); document.write( "2x+y = 7
\n" ); document.write( "2(5)+3 = 7
\n" ); document.write( "10+3 = 7
\n" ); document.write( "13 = 7
\n" ); document.write( "This is false as well. Even if it was true, the first equation being false is sufficient to conclude that the point isn't a solution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: No, it's not a solution.
\n" ); document.write( " \n" ); document.write( "
\n" );