Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get quick and reliable solutions to your questions from knowledgeable professionals on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

Solve the system by substitution. Check your solution.
0.5 x + 0.25 y = 36. y + 18 = 16 x.
a.
(36, 72)
c.
(49, 81)
b.
(9, 126)
d.
(21, 9)

Sagot :

940172

Answer:

(9,126)

Step-by-step explanation:

Make sure x and y are on the same side

[tex]0.5x+0.25y=36\\16x-1y=18[/tex]

Eliminate y by multiplying the first equation by 4 then adding both equations together

[tex]2x+1y=144\\16x-1y=18\\18x=162\\x=9[/tex]

Plug the x value (9) into one of the equations

[tex]16(9)-1y=18[/tex]

Solve

[tex]16(9)-1y=18\\144-1y=18\\144=18+1y\\126=y[/tex]

x=9, y=126

(9,126)

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.