-2n - 40 <5(6 + n) + 7n

n > -5

Step-by-step explanation:

Step 1:  Distribute

-2n - 40 < 5(6 + n) + 7n

-2n - 40 < 30 + 5n + 7n

Step 2:  Combine Like Terms

-2n - 40 < 30 + 5n + 7n

-2n - 40 < 30 + 12n

Step 3:  Add 2n to both sides

-2n - 40 + 2n < 30 + 12n + 2n

-40 < 30 + 14n

Step 4:  Subtract 30 from both sides

-40 - 30 < 30 + 14n - 30

-70 / 14 < 14n / 14

-5 < n

 n > -5

i dont know it

step-by-step explanation:

(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