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nekit [7.7K]
3 years ago
9

8y-8(y-1)=6-(16y-4)-10 Solve the linear equation ?

Mathematics
1 answer:
slamgirl [31]3 years ago
6 0

Answer:

y = -1/2

Step-by-step explanation:

First distribute.

8y - 8y + 8 = 6 - 16y + 4 - 10

8 = -16y

Divide by -16.

y = -1/2

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Answer:

T_7 = 11

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Step-by-step explanation:

Given

S_n = n^2 -2n

T_n = S_n - S_{n-1}

Solving (a): T7

Substitute 7 for n in T_n = S_n - S_{n-1}

T_7 = S_7 - S_{7-1}

T_7 = S_7 - S_6

Calculate S7 and S6

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T_7 = 35 -24

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Solving (b): Tn

T_n = S_n - S_{n-1}

Where S_n = n^2 -2n

CalculateS_{n-1}

We have:

S_{n-1} =(n-1)^2 - 2(n-1)

Open brackets

S_{n-1} = n^2 -2n + 1 -2n +2

S_{n-1} = n^2 -2n-2n + 1  +2

S_{n-1} = n^2 -4n + 3

So:

T_n = S_n - S_{n-1}

T_n = n^2 - 2n - (n^2 -4n + 3)

T_n = n^2 - 2n - n^2 +4n - 3

Collect Like Terms

T_n = n^2 - n^2- 2n  +4n - 3

T_n = 2n- 3

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Step-by-step explanation:

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