Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Get detailed answers to your questions from a community of experts dedicated to providing accurate information. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

5x−y=10 3x+y=14 please solve the system of equations and show your work

Sagot :

work is down below. the answers is x=3
View image shaniacollier21
VectorFundament120

Answer:

x = 3, y = 5

or (3,5) in coordination point form.

Step-by-step explanation:

We are going to solve the system of equations by combining two equations. To do that, we isolate y-term.

[tex] \large{\begin{cases} 5x - y = 10 \\ 3x + y = 14 \end{cases}}[/tex]

Convert both equations to slope-intercept form.

[tex] \large{ \begin{cases} y = 5x - 10 \\ y = - 3x + 14 \end{cases}}[/tex]

Then combine both equations

[tex] \large{5x - 10 = - 3x + 14} \\ \large{5x + 3x = 10 + 14} \\ \large{8x = 24} \\ \large{x = 3}[/tex]

Substitute x = 3 in one of given equations. I will substitute x = 3 in y = 5x-10

[tex] \large{y = 5x - 10} \\ \large{y = 5(3) - 10} \\ \large{y = 15 - 10} \\ \large{y = 5}[/tex]

Hope this helps!

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.