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).

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be