The highest point in the mountains of Seattle is 5,833 meters above sea level. The lowest point in the valley is 57 meters below sea level. What is the difference between the highest and lowest point?

5890 meters

Step-by-step explanation:

Given: The highest point in the mountains of Seattle is 5,833 meters above sea level.

The lowest point in the valley is 57 meters below sea level.

in integers it is represented by -57 meters. [we use negative integer to represents "below"]

Difference between the highest and lowest point = Highest point - lowest point

=  5,833 meters -(-57) meters

= (5833 + 57) meters      [a-(-b)= a+b]

= 5890 meters

Hence, the required difference = 5890 meters

(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