Solve the system of equations.5x + y = 93x + 2y = 4 A) (-2, 5) B) (1, 4) C) (2, -1)D) (4, -4)

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).

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