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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).

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