An example would be:
Small cards cost $3 each and large cards cost $5 each. The total amount from the
sale of the cards is $95.
We can choose to make:
x = the number of small cards sold and
y = the number of large cards sold.
sale of the cards is $95.
We can choose to make:
x = the number of small cards sold and
y = the number of large cards sold.
In this scenario 3x + 5y = 95 means $3 per small card plus $5 per large card adds up to
a total of $95 dollars.
There are multiple ways of solving this first equation. It's only when we say the total
number of cards is 25, translated to x + y = 25 that we have a systems of equations
with one common answer.
In this scenario x + y = 25 translates to "the number of small cards plus the number of
large cards is 25 cards. Note that cost is not associated with this function.
There are multiple ways of solving this first equation. It's only when we say the total
number of cards is 25, translated to x + y = 25 that we have a systems of equations
with one common answer.
In this scenario x + y = 25 translates to "the number of small cards plus the number of
large cards is 25 cards. Note that cost is not associated with this function.
HW: pgs 380-81 #s 31, 32, *36 (*do a grid/table/equation/graph for 36)
Today, we will also begin solving linear systems by substitution. Please watch the following videos of me solving #3 & #4 from your HW, copy the work and answers down, and do the remaining HW problems:
AND HW: pg 386 #s 3-7
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