What is the solution of the system? 5x + 2y = 9 4x - 3y = 44
1 answer:
Hello!
5x + 2y = 9
4x - 3y = 44
We can eliminate y by multiplying both expressions in order to have the y coefficients equal.
The LCM (least common multiple) of 2 and 3 is 6, so we can multiply each accordingly:
3(5x + 2y = 9)
2(4x - 3y = 44)
Distribute:
15x + 6y = 27
8x - 6y = 88
Cancel using addition:
15x + 6y = 27
8x - 6y = 88
------------------
23x = 115
Divide:
x = 5.
Plug in this value of x into an equation to solve for y:
5(5) + 2y = 9
25 + 2y = 9
2y = -16
y = -8
The solution of the system is:
(5, -8).
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Options:
Who is right, and why?
a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.
b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.
c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.
d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.
Answer:
d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.
Step-by-step explanation:
Given
Required [Missing from the question]
Who is correct and why?
First, we calculate the actual amount collected.
--- approximate
Next, determine the estimate (round 3585 to 3600 and 21% to 20%)
Next, calculate Kurt and Maria's estimates
<em>Hence, Kurt and Maria are correct because of option (d)</em>