Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Discover precise answers to your questions from a wide range of experts on our user-friendly Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.
Sagot :
Substitution:
[tex]y=-3x+2 \\ y=2x-3 \\ \\ \hbox{substitute -3x+2 for y in the 2nd equation and solve for x:} \\ -3x+2=2x-3 \\ -3x-2x=-3-2 \\ -5x=-5 \\ x=1 \\ \\ \hbox{substitue 1 for x in one of the equations and solve for y:} \\ y=2 \times 1-3 \\ y=2-3 \\ y=-1 \\ \\ (x,y)=(1,-1)[/tex]
Elimination:
[tex]y=-3x+2 \ \ \ |\times (-1) \\ y=2x-3 \\ \\ -y=3x-2 \\ \underline{y=2x-3} \\ y-y=3x+2x-2-3 \\ 0=5x-5 \\ 5=5x \\ x=1 \\ \\ y=2 \times 1-3=2-3=-1 \\ \\ (x,y)=(1,-1)[/tex]
[tex]y=-3x+2 \\ y=2x-3 \\ \\ \hbox{substitute -3x+2 for y in the 2nd equation and solve for x:} \\ -3x+2=2x-3 \\ -3x-2x=-3-2 \\ -5x=-5 \\ x=1 \\ \\ \hbox{substitue 1 for x in one of the equations and solve for y:} \\ y=2 \times 1-3 \\ y=2-3 \\ y=-1 \\ \\ (x,y)=(1,-1)[/tex]
Elimination:
[tex]y=-3x+2 \ \ \ |\times (-1) \\ y=2x-3 \\ \\ -y=3x-2 \\ \underline{y=2x-3} \\ y-y=3x+2x-2-3 \\ 0=5x-5 \\ 5=5x \\ x=1 \\ \\ y=2 \times 1-3=2-3=-1 \\ \\ (x,y)=(1,-1)[/tex]
[tex]Elimination\ method:\\\\ \left\{\begin{array}{ccc}y=-3x+2&|add\ 3x\ to\ both\ sides\\y=2x-3&|subtract\ "y"\ from\ both\ sides\ and\ add\ 3\ to\ both\ sides\end{array}\right\\\\ \left\{\begin{array}{ccc}3x+y=2\\3=2x-y&|
change\ sides\ of\ the\ equation\end{array}\right\\\\+\underline{\left\{\begin{array}{ccc}3x+y=2\\2x-y=3\end{array}\right}\ \ \ \ |add\ sides\ of\ the\ equations\\. \ \ \ \ \ 5x=5\ \ \ \ \ |divide\ both\ sides\ by\ 5\\.\ \ \ \ \ \ \boxed{x=1}[/tex]
[tex]subtitute\ value\ of\ "x"\ to\ the\ equation\ 3x+y=2:\\\\3(1)+y=2\\3+y=2\ \ \ \ |subtract\ 3\ from\ both\ sides\\\boxed{y=-1}\\\\Answer:\boxed{ \left\{\begin{array}{ccc}x=1\\y=-1\end{array}\right}[/tex]
[tex]subtitute\ value\ of\ "x"\ to\ the\ equation\ 3x+y=2:\\\\3(1)+y=2\\3+y=2\ \ \ \ |subtract\ 3\ from\ both\ sides\\\boxed{y=-1}\\\\Answer:\boxed{ \left\{\begin{array}{ccc}x=1\\y=-1\end{array}\right}[/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.