Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Solve these system of linear equations:
5x-y=10}
4x-2y=20}

AND:

3x+4y=12}
2x-y=-10}

WITH STEPS PLEASE!!!!!

Sagot :

naǫ
[tex]5x-y=10 \\ 4x-2y=20 \ \ \ |\hbox{divide both sides by (-2)} \\ \\ 5x-y=10 \\ \underline{-2x+y=-10} \ \ \ |\hbox{add by sides} \\ 5x-2x-y+y=10-10 \\ 3x=0 \\ x=0 \\ \\ \hbox{substitute 0 for x in one of the equations:} \\ 5 \times 0 -y=10 \\ -y=10 \\ y=-10 \\ \\ \hbox{the answer:} \\ x=0 \\ y=-10[/tex]



[tex]3x+4y=12 \\ 2x-y=-10 \ \ \ |\hbox{multiply both sides by 4} \\ \\ 3x+4y=12 \\ \underline{8x-4y=-40} \ \ \ |\hbox{add by sides} \\ 3x+8x+4y-4y=12-40 \\ 11x=-28 \\ x=-\frac{28}{11} \\ x=-2 \frac{6}{11} \\ \\ \hbox{substitute -28/11 for x in one of the equations:} \\ 2 \times (-\frac{28}{11})-y=-10 \\ -\frac{56}{11}-y=-\frac{110}{11} \\ -y=-\frac{110}{11}+\frac{56}{11} \\ -y=-\frac{54}{11} \\ y=\frac{54}{11} \\ y=4 \frac{10}{11} \\ \\ \hbox{the answer:} \\ x=-2\frac{6}{11} \\ y=4 \frac{10}{11}[/tex]
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.