Solve the following system of equations. give the answer as an ordered pair. 4x - y = - 5 3x + 2y = - 12

(x, y ) = (- 2, - 3 )

given the 2 equations

4x - y = - 5 → (1)

3x + 2y = - 12 → (2)

eliminate the term in y by multiplying (1) by 2 and then adding

8x - 2y = - 10 → (3)

add (2) and (3) term by term to eliminate y

(3x + 8x ) + (2y - 2y) = (- 12 - 10 )

11x = - 22 ( divide both sides by 11 )

x = - 2

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

(2) : - 6 + 2y = - 12 ( add 6 to both sides )

2y = - 6 ( divide both sides by 2 )

y = - 3

solution is (- 2, - 3 )

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

answer: bearing in mind that a rectangle has a perimeter of length + length + width + width.

step-by-step explanation:

p = perimeter

l = length

x=width

p = 2l + 2x

p = 2(l+x)     < ==== perimeter of the base of the box.