Question

FOR 100 POINTS!!

Systems of equations are bundles of equations that all relate to a common problem. For instance, combine two equations that each give the distance (y) that two different cars drive in a given amount of time(x) to form a system of equations:

y = 60x + 5
y = 40x + 40

One value of x will yield the same value of y in each equation. What does this solution represent in this situation? Can you think of any other scenarios where two linked equations could provide a useful answer? How do systems of equations make problems easier to comprehend?

Answer 1

Solution will represent the time at which the distance traveled by both the cars will be the same.

Explanation:

we are given with a system of equation . the equations are

y=60x+5

y=40x+40

where y is the distance traveled and x is the time. the solution to the above system of equations represents the time after which they have traveled the same distance .

Another situation could be the total cost of manufacturing of some product.

suppose the cost of the production of pencils in two difference units be given as

C=4n+50

C=5n+35

Where C is the total cost incurred in production of n number of pencils.

The solution to the above system of equation will be representing the number of units for which the cost of production of both the units will be the same.