Use the substitution method to find the solution to the system of linear
equations.
y = -x + 1
y= 2x– 8

therefore the value of x = 3 and y = -2

Step-by-step explanation:

using substitution method in solving the following equation

let

y = -x + 1   equation 1

y= 2x– 8 equation 2

substitute for  1 in equation 2 i.e put the value of y in equation 1 to value of y in equation 2

y= 2x– 8 equation 2

-x + 1 = 2x - 8

by collecting the like terms

1 + 8 =2x + x

9 = 3x

divide both sides by 3

we have

9/3 = 3x/3

3 = x

therefore  x = 3

put x = 3 in equation 1

y = -x + 1   equation 1

y = -(3) + 1

y = -2

therefore the value of x = 3 and y = -2

to check if your answer is correct

put the value of x and y in either equation one or 2

y= 2x– 8 equation 2

-2 = 2(3) - 8

-2 = 6 - 8

-2 = -2 proved

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.