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)

Read more about ordered pairs at:

link

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

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is