Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Get expert answers to your questions quickly and accurately from our dedicated community of professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

3x – 7 y = -27
16x - 5y = 0
(using the linear equation system and solving for x,y)

Sagot :

nataliechou123

Answer:

x=5 and y=6

Step-by-step explanation:

Step: Solve 3x−7y=−27 for x:

3x−7y=−27

3x−7y+7y=−27+7y

3x=7y−27

[tex]\frac{3x}{3} =\frac{7y-27}{3}[/tex]

[tex]x=\frac{7}{3} y-9[/tex]

Step: Substitute   [tex]\frac{7}{3}y-9[/tex] for x in 6x−5y=0:

6x−5y=0

[tex]6(\frac{7}{3}-9)-5y=0[/tex]

9y−54=0

9y−54+54=0+54

9y=54

[tex]\frac{9y}{9} =\frac{54}{9}[/tex]

Therefore y=6.

Step: Substitute 6 for y in x= [tex]\frac{7}{3} y-9[/tex]:

[tex]x=\frac{7}{3} y-9[/tex]

[tex]x=\frac{7}{3}(6)-9[/tex]

Therefore x= 5.

x= 5 and y= 6

Hope this helped! :)

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.