Question

Solve the system of equations below. 4x+y=16 2x+3y=-2 A. (4,-5) B. (5,-4) C. (5,4) D. (-5,4)

Answer 1

your answer is (5,-4)

Answer 2

Option B is correct.

(5, -4)

Explanation:

Given the system of equations:

`4x+y = 16` ......[1]

`2x+3y = -2` .....[2]

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

`4x+6y = -4` .....[3]

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

`4x+y-4x-6y= 16+4`

Combine like terms;

`-5y = 20`

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).