allianaeacepaws
Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

Please explain how to find the answer

Please Explain How To Find The Answer class=

Sagot :

coldprince

Answer:

[tex] \rm x=\frac{46}{3} [/tex]

[tex] \rm y=-\frac{25}{24} [/tex]

Step-by-step explanation:

[tex] \huge\begin{array} {|c|} \hline\left. \begin{cases} { \rm\frac{ 1 }{ 4 } x+ \frac{ 4 }{ 5 } y = 3 } \\ { \rm\frac{ 5 }{ 16 } x- \frac{ 1 }{ 5 } y=5 } \end{cases} \right. \\ \hline \end{array}[/tex]

[tex] \\ \Large \overline{ \rm - \: Steps \: using \: substitution \: - }[/tex]

[tex] \rm \frac{1}{4}x+\frac{4}{5}y=3 [/tex]

[tex] \rm \frac{1}{4}x=-\frac{4}{5}y+3 [/tex]

[tex] \rm x=4\left(-\frac{4}{5}y+3\right) [/tex]

[tex] \rm x=-\frac{16}{5}y+12 [/tex]

┈

[tex] \rm \frac{5}{16}\left(-\frac{16}{5}y+12\right)-\frac{1}{5}y=5 [/tex]

[tex] \rm -y+\frac{15}{4}-\frac{1}{5}y=5 [/tex]

[tex] \rm -\frac{6}{5}y+\frac{15}{4}=5 [/tex]

[tex] \rm -\frac{6}{5}y=\frac{5}{4} [/tex]

[tex] \bold{ y=-\frac{25}{24}} [/tex]

┈

[tex] \rm x=-\frac{16}{5}\left(-\frac{25}{24}\right)+12 [/tex]

[tex] \rm x=\frac{10}{3}+12 [/tex]

[tex] \bold{ x=\frac{46}{3}} [/tex]

mhanifa

Answer:

  • (46/3, - 25/24)

Step-by-step explanation:

It is easier to solve it by elimination.

Add the first equation to 4 times the second one to eliminate y:

  • 1/4x + 4/5y + 4*5/16x - 4/5y = 3 + 4*5
  • 1/4x + 5/4x = 3 + 20
  • 6/4x = 23
  • 3/2x = 23
  • x = 2*23/3
  • x = 46/3

Now find y:

  • 1/4*46/3 + 4/5y = 3
  • 23/6 + 4/5y = 3
  • 4/5y = 3 - 23/6
  • 4/5y = -5/6
  • y = -25/24
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.