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Inessa05 [86]
3 years ago
12

Use elimination to solve the system of equations given by -7x + 3y = 14 and 7x - 2y = -14.

Mathematics
1 answer:
Bogdan [553]3 years ago
4 0

The coefficients of x are already opposites, so you can simply add the two equations to eliminate x.

... (-7x +3y) + (7x -2y) = (14) + (-14)

... y = 0 . . . . . . . simplify

... -7x + 3·0 = 14  . . . . substitute the value of x into the first equation

.. x = 14/(-7) = -2

The solution is (x, y) = (-2, 0).

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Given sequence:

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Unknown;

Find the sum of the first 20 terms = ?

Solution:

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To find he sum of n-terms of a sequence, we use the expression below;

     Sₙ  = \frac{n}{2} (2a + (n-1)d)

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Now input the parameters and solve;

       Sₙ  = \frac{20}{2} (2(-2) + (20 - 1) x -5)

      Sₙ = 10(-4 + -5(19))  = 10(-99)  = -990

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Step-by-step explanation:

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Step-by-step explanation:

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