Which is the best approximation for the solution of the system of equations?

y = x + 1
y = 3x – 2

Answer with Explanation:

The given system of equations are

y=x+1------(1)

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

Substituting the value of y from equation 1 in equation 2

→x +1= 3 x -2

→x-3 x =-2 -1

→ -2 x= -3

x=1.5

Substituting the value of, x in equation 1

y=2.5

Ordered Pair (x,y)=(1.5, 2.5)

⇒The given options are

(0.45, 0.88)

(0.88, 0.65)

(0.88, 1.1)

(1.3, 0.88)

None of the Options are best Approximation of calculated Ordered Pair (x,y)=(1.5, 2.5).

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.