Number 12. which ordered pair is a solution of the linear system x + 2y = -8 and -4x + y = 5 a. (2, -3) b. ( -3, -2) c. (0,0) d. ( -2, -3) e. ( -1, 0)

Ordered pair is simply the solution to a system of equation.

The solution is: (d) (-2,-3)

The equations are given as:

Make x the subject in

Substitute in

Open brackets

Subtract 32 from both sides

Divide both sides by 9

Substitute in

Hence, the solution is: (-2,-3)

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D

given the 2 equations

x + 2y = - 8 → (1)

- 4x + y = 5 → (2)

multiply (1) by 4

4x + 8y = - 32 → (3)

add (2) and (3) term by term to eliminate term in x

9y = - 27 ( divide both sides by 9 )

y = - 3

substitute y = - 3 in either (1) or (2) and solve for x

(1) : x - 6 = - 8 ( add 6 to both sides )

x = - 2

solution is (- 2, - 3 ) → D

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