6. simplify the following expression by combining (adding together what is alike) like terms:
8n + 5 - n + 13
*
9n + 18
13n + 12
25n
7n + 18

7. what is the domain (the first element or number, from each pair) of this relation:
{ (4,1), (5,2), (6,-1), (8,5) }
*
{4, 5, 6, 8}
{4, 5, 6}
{-1, 2, -1, 5}
{4, -1, 5, 2}

8. on a number line, which are greater: *

absolute numbers
negative numbers
positive numbers
no numbers

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

they are simplified

step-by-step explanation: