Allianaeacepawsidn
Answered

IDNLearn.com makes it easy to find accurate answers to your questions. Discover detailed and accurate answers to your questions from our knowledgeable and dedicated community members.

Please explain how to find the answer

Please Explain How To Find The Answer class=

Sagot :

Coldprinceidn

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]

Mhanifaidn

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
We are delighted to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Discover insightful answers at IDNLearn.com. We appreciate your visit and look forward to assisting you again.