a group of 19 students want to see the show at the planetarium. $11 for each student who is a member of the planetarium's freque
2 answers:
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Answer:
- 20 months
- $5500
Step-by-step explanation:
There are a couple of ways to work a problem like this. You have probably been taught to write equations for each of the payment amounts as a function of time, then equate those values to solve for the time that makes them equal.
at dealer 1, the total amount paid (y) will be a function of months (x):
y = 2500 +150x
at dealer 2, the corresponding equation is ...
y = 3000 +125x
These are equal when ...
y = y
2500 +150x = 3000 +125x
25x = 500 . . . . . . . . . subtract 125x +2500 from both sides
x = 500/25 = 20
The total paid will be the same after 20 months.
That amount is ...
y = 2500 +150(20) = 5500
$5500 will be paid to either dealer after 20 months.
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The other way to work the problem is to "cut to the chase". The difference in down payment is made up at the rate of difference in monthly payments. So The number of monthly payments (x) required to equal the difference in down payments is ...
25x = 500 . . . . . . . . . you may recognize this equation from above
x = 500/25 = 20
Answer:
After simplifying we get (x,y) as (1,3).
Step-by-step explanation:
Given:
,
We need to use elimination method to solve the and simplify the equations.
Solution;
Let ⇒ equation 1
Also Let ⇒ equation 2
Now by solving the equation we get;
first we will Add equation 2 from equation 1 we get;
Now Dividing both side by 5 using division property of equality we get;
Now Substituting the vale of x in equation 1 we get;
subtracting both side by 1 using subtraction property of equality we get;
Now Dividing both side by 7 using division property of equality we get;
Hence we can say that, After simplifying we get (x,y) as (1,3).