Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Connect with a community of experts ready to help you find solutions to your questions quickly and accurately. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Solve the system of equations.

5x + y = 9
3x + 2y = 4 

A) (-2, 5) 
B) (1, 4) 
C) (2, -1)
D) (4, -4)

Sagot :

pepe11
you can find  replcing x and y by the coordinates of the points
A : 5.-2 + 5 ≠9 not solution
B : 5.1 + 4 = 9 so 3.1 + 2.4 = 11 ≠4 not solution
C: 5.2 +  = 9  so 3.2 + 2.-1 = 4 both are right then C is solution
D: 5.4 - 4 = 16 ≠ 9 not solution 

boffeemadrid

Answer:

(C) (2,-1)

Step-by-step explanation:

The given system of equations is :

[tex]5x+y=9[/tex]                            (1)

and [tex]3x+2y=4[/tex]                  (2)  

Multiply equation (1) with 2 and then subtract equation (2) from it, we get

⇒[tex]10x+2y-3x-2y=18-4[/tex]

⇒[tex]7x=14[/tex]

⇒[tex]x=2[/tex]

Substitute the value of x=2 in equation (1), we get

⇒[tex]5(2)+y=9[/tex]

⇒[tex]10+y=9[/tex]

⇒[tex]y=-1[/tex]

Therefore, x=2 and y=-1. that is (2,-1).

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.