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3 years ago

What is the result of adding these two equation? 5x-9y=1 -7x+2y=-5

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

4 0

The result of adding the given equations is 2x+7y=4.

Step-by-step explanation:

Given equations are;

5x-9y=1 Eqn 1

-7x+2y=-5 Eqn 2

Adding Eqn 1 and 2

$(5x-9y)+(-7x+2y)=1+(-5)\\5x-9y-7x+2y=1-5$

Arranging alike terms;

$5x-7x-9y+2y=-4\\-2x-7y=-4$

Dividing each term by -1

$\frac{-2x}{-1}+\frac{-7y}{-1}=\frac{-4}{-1}\\2x+7y=4$

The result of adding the given equations is 2x+7y=4.

Keywords: addition, linear equations

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Determine the recursive function that defines the sequence.

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<h2>Answer:</h2>

Option: C is the correct answer.

C. $f(1)=4\\\\f(n)=5\cdot f(n-1)\ ;\ n\geq 2$

<h2>Step-by-step explanation:</h2>

Recursive Formula--

It is the formula which is used to represent the nth term of a sequence in terms of (n-1)th term of the sequence.

Here we are given a table of values by:

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Also,

$f(3)=100\\\\i.e.\\\\f(3)=5\cdot 20\\\\i.e.\\\\f(3)=5\cdot f(2)$

Hence, the recursive formula is:

$f(n)=5\cdot f(n-1)\ for\ n\geq 2$

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