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?

Question

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?

raffle_snaffle · Answer

well both of these equations are linear

raffle_snaffle · Answer

y depends on x, thus x could be some factor such as time or position.

raffle_snaffle · Answer

what do you think? There are many answers to this problem.