Answered

At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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]
Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. 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 by returning for our latest expert advice.