Respuesta :

KanekiKen3
x−2y=4;5x−3y=34Step: Solvex−2y=4for x:x−2y+2y=4+2y(Add 2y to both sides)x=2y+4Step: Substitute2y+4forxin5x−3y=34:5x−3y=345(2y+4)−3y=347y+20=34(Simplify both sides of the equation)7y+20+−20=34+−20(Add -20 to both sides)7y=147y7=147(Divide both sides by 7)y=2Step: Substitute2foryinx=2y+4:x=2y+4x=(2)(2)+4x=8(Simplify both sides of the equation)

Answer:

(8,2)

Step-by-step explanation:

We are given equations:

   5x-3y=34       (1)

     x-2y=4         (2)

On multiplying second equation by 5, we get

    5x-10y=20    (3)

On subtracting equation (1) by (3), we get

    7y= 14

⇒   y=2

Putting y=2 in equation  (2)

   x-2×2=4

⇒  x= 8

Hence, correct option is:

   (8,2)

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