Please help!! Complete each table
Y=1/2x+3
What is the solution to the system of equations?

Solution of the system of equations will be (6, 6).

Step-by-step explanation:

Table for the first equation,

x          0          2         4         6         8      

y          3          4         5         6         7

(x, y) (0, 3)    (2, 4)   (4, 5)    (6, 6)   (8, 7)

We have got the values of y by substituting the values of x in the given equation for the table.

Similarly, for the other equation,

y = 2x - 6

x           0          2         4           6           8

y          -6         -2         2           6          10  

(x, y)  (0, -6)   (2, -2)  (4, 2)   (6, 6)    (8, 10)

By analyzing both the tables we find (6, 6) is a common point in both the tables.

That represents the points of intersection of both the lines.

Therefore, solution of the system of equations will be (6, 6)

complete the steps to find the area of the trapezoid.

area of rectangle = 256   square units

area of triangle 1 = 24  square units

area of triangle 2 = 16  square units

area of triangle 3 =   96 square units

area of trapezoid = 120  square units

step-by-step explanation:

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral