Westonci.ca offers quick and accurate answers to your questions. Join our community and get the insights you need today. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
To do this, first plug the values of x and y into the given equation. If you get a true statement, the ordered pair will be a solution to the equation, otherwise, it won't.
So, for the ordered pair (2,6) you have
[tex]\begin{gathered} 7x+4y=-23 \\ 7(2)+4(6)=-23 \\ 14+24=-23 \\ 38=-23 \end{gathered}[/tex]Since the proposition is false, then the ordered pair (2,6) is not a solution to the equation.
For the ordered pair (-5,3) you have
[tex]\begin{gathered} 7x+4y=-23 \\ 7(-5)+4(3)=-23 \\ -35+12=-23 \\ -23=-23 \end{gathered}[/tex]Since the proposition is true, then the ordered pair (-5,3) is a solution to the equation.
For the ordered pair (6,-7) you have
[tex]\begin{gathered} 7x+4y=-23 \\ 7(6)+4(-7)=-23 \\ 42-28=-23 \\ 14=-23 \end{gathered}[/tex]Since the proposition is false, then the ordered pair (6,-7) is not a solution to the equation.
Finally, for the ordered pair (-1,-4) you have
[tex]\begin{gathered} 7x+4y=-23 \\ 7(-1)+4(-4)=-23 \\ -7-16=-23 \\ -23=-23 \end{gathered}[/tex]Since the proposition is true, then the ordered pair (-1,-4) is a solution to the equation.
Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.