The point (4, -2) is the solution to which of the following system of equations?

Question

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The point  (4, -2) is the solution to which of the following system of equations?

A) Y =-X +2

    Y = 4X -2

B) Y = -X + 2

     Y= -2 +4

C) Y = X -2

      Y = X-6

D) Y =2X -10

      Y = X -6

Answer 1

Given point (4,-2)

Substitute the point in each given systems.

A) y = -x+2 ⇒ -2 = -4+2 ⇒ -2 = -2

y  = 4x-2 ⇒ -2 = -16-2 ⇒ -2 = -18

The point does not satisify the system.

B) y = -x+2  ⇒ -2 = -4+2 ⇒-2 = -2

y = -2+4 ⇒-2 = 2

The point does not satisify the system.

C)y = x-2 ⇒ -2 = 4-2 ⇒-2 = 2

The point does not satisify the system.

D) y = 2x-10 ⇒-2 = 8-10 ⇒ -2 = -2

y = x-6 ⇒ -2 = 4-6 ⇒ -2 = -2

Here the point satisify the system.

So (4,-2) is solution of these system.

Option D is correct answer.