Answer:
Step-by-step explanation:
Those standing is the same thing as people who didn't have seats.
Those standing = the total number of people attending - those seated.
Those standing = 5609 - 3800
Those standing = 1809
Using linear combination method to solve the system of equations 3x - 8y = 7 and x + 2y = -7 is (x, y) = (-3, -2)
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Solution:</u></h3>
Given that, a system of equations are:
3x – 8y = 7 ⇒ (1) and x + 2y = - 7 ⇒ (2)
We have to solve the system of equations using linear combination method and find their solution.
Linear combination is the process of adding two algebraic equations so that one of the variables is eliminated. Addition or subtraction can be used to perform a linear combination.
Now, let us multiply equation (2) with 4 so that y coefficients will be equal numerically.
4x + 8y = -28 ⇒ (3)
Now, add (1) and (3)
3x – 8y = 7
4x + 8y = - 28
----------------
7x + 0 = - 21
7x = -21
x = - 3
Now, substitute "x" value in (2)
(2) ⇒ -3 + 2y = - 7
2y = 3 – 7
2y = - 4
y = -2
Hence, the solution for the given two system of equations is (-3, -2)
Answer:
Fraction: 1/4 Decimal: 0.25
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
13. D
Simply subtract. 85376 - 37793 = 47583.
14. C
[Something] - 32497 = 26348
Add 32497 to both sides:
[Something] - 32497 + 32497 = 26438 + 32497
[Something] = 58845
15. C
Compute each difference:
A: 51455 - 26478 = 24977
B: 49351 - 15274 = 34077
C: 63286 - 37439 = 25847
(D: 46307 - 21550 = 24757)
16. B
Simply subtract:
143864 - 112955 = 30909
17. A
First, find the difference:
85732 - 39864 = 45868
Only 45798 (A) is less than 45868.
(Note that B is equal to, not less than).
18. C
Subtract:
45932 - 29574 = 16358.
19. B
Subtract:
96834 - 31727 = 65107 - 12156 = 52951
20. C
27301 - 12352 - [Something] = 7356
14949 - [Something] = 7356
Add [Something] to each side:
14949 = 7356 + [Something]
Subtract 7356 from each side.
7593 = [Something]
Note: Do you need help with subtraction specifically? These questions can be solved with simply with a calculator, but perhaps that is not the intention here. Anyways, I recommend using Khan Academy to improve your arithmetic skills if necesary.
