HOW do you decide which of two numbers is greater when: Both numbers are positive
Both numbers are negative
One number is positive and one is negative
2. HOW does a number line help you compare numbers?

3. When you add a positive number and a negative number, how do you determine the sign of the answer?

explanation: any number with a negative sign which is ( - ) is smaller than 0

and a number without a sign next to it is positive

a number line can show you both negative and positive to draw it

for example

-5 -4 -3 -2 -1 0 1 2 3 4 5

you can see we start from the left with the negative numbers

if you add a positive and a negative sign  to get the answer is the biggest number ik negative is always the smallest listen look at it like there is no signs and you see which one is the biggest then take that one

ex.

4+(-5)= -1

(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