Which ordered pair is the solution to the system of equations? {−5x−3y=12y=x−12 a(0, −4) b(−6, 6) c(3, −9) d(1, −11)

Option C is correct

The ordered pair which is the solution of the system of given equations is (3, -9)

Step-by-step explanation:

Given the system of equation:

y =x -12                    ......[1]

-5x - 3y =12                ......[2]

Substitute equation [1] in [2] we have;

Using distributive property :

-5x - 3x+36 = 12

Combine like terms;

-8x +36 = 12

Subtract 36 to both sides of an equation; we get

-8x +36 -36 = 12 -36

Simplify:

-8x = -24

Divide by -8 to both sides we get;

Simplify:

x = 3

Substitute the value of x = 3 in equation [1] to solve for y;

y = 3 -12 = -9

or y = -9

Therefore, the only ordered pair (x, y)  the solution of the system of equation is ( 3, -9).

:

step-by-step explanation:

∠acb = 8°

step-by-step explanation:

∠xba lies on the circle and is half the measure of the intercepted arc ax

hence

measure of arc ax = 2 × 42° = 84°

∠acb is outside the circle and is

∠acb = (arcab - arcax ), hence

∠acb = 0.5 (100 - 84) = 0.5 × 16° = 8°