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Mama L [17]
4 years ago
12

Which ordered pair (a, b) is a solution to the given system? {2a - 5b=1] {3a+5b=14}

Mathematics
2 answers:
Aleonysh [2.5K]4 years ago
8 0

Answer:

(3,-1)

Step-by-step explanation:

2a - 5b=1 \ and \ 3a+5b=14

WE use elimination method to solve for a  and b

2a - 5b=1

3a+5b=14

---------------------------------

5a=15

Divide by 5 on both sides

a = 3

Now plug in a=3 in first equation

2a-5b=1

2(3)-5b=1

6-5b=1

Subtract 6 on both sides

5b=-5 ( divide by 5 on both sides)

b = -1

Ordered pair is (3,-1)

Schach [20]4 years ago
5 0
A = 3, b = -1, it's easier to use elimination to solve for a since the coefficients for the two b's are the same number.
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In 2009, the American Time Use Survey found that the average American spends 2.8 hours a day watching TV. Suppose the standard d
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Answer:

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Step-by-step explanation:

Mean time spent watching TV (μ) = 2.8 hours a day  

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8 0
3 years ago
The sum of the first term of an ap is 240 and the sum of the next 4 term is 220 find the first term of the ap
Sindrei [870]

Answer:

The common difference is -5/4

T(n) = T(0)  - 5n/4,

where T(0) can be any number. d = -5/4

Assuming T(0) = 0, then first term

T(1) = 0 -5/4 = -5/4

Step-by-step explanation:

T(n) = T(0) + n*d

Let

S1 = T(x) + T(x+1) + T(x+2) + T(x+3) = 4*T(0) + (x + x+1 + x+2 + x+3)d = 240

S2 = T(x+4) + T(x+5) + T(x+6) + T(x+7) = 4*T(0) + (x+5 + x+6 + x+7 + x+8)d = 220

S2 - S1

= 4*T(0) + (x+5 + x+6 + x+7 + x+8)d - (4*T(0) + (x+1 + x+2 + x+3 + x+4)d)

= (5+6+7+8 - 1 -2-3-4)d

= 4(4)d

= 16d

Since S2=220,  S1 = 240

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Since T(0) has not been defined, it could be any number.

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ANSWER

My answer is in the photo above

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