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

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

i think 5 miles per hour

step-by-step explanation: