Solve the system of equations below. 4x+y=16 2x+3y=-2 a. (4,-5) b. (5,-4) c. (5,4) d. (-5,4)

Option B is correct.

(5, -4)

Step-by-step explanation:

Given the system of equations:

              ......[1]

            .....[2]

Multiply equation [2] by 2 both sides we have;

                     .....[3]

Subtract equation [3] from [1] we have;

Combine like terms;

Divide both sides by -5 we have;

y  = -4

Substitute this value y in [1] we have;

4x+(-4) = 16

⇒4x - 4 = 16

Add 4 to both sides we have;

4x = 20

Divide both sides by 4 we have;

x = 5

therefore, the solutions of the given systems is, (5, -4).

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