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trapecia [35]
3 years ago
15

-6(-4x + 3) = 2(10x + 3)

Mathematics
1 answer:
Naya [18.7K]3 years ago
8 0

Answer:

x = -6/11

Step-by-step explanation:

-6(-4x + 3) = 2(10x + 3)

-6 * -4x = -24x

-6 * 3 = -18

2 * 10x = 20x

2 * 3 = 6

-24x - 18 = 20x + 6

-20x           -20x

-44x - 18 = 6

+18           +18

-44x = 24

-------   ------

 -44      -44

24/-44 = -24/44

-24/44 = -6/22

x = -6/11

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We got the value of e=\frac{78}{7} by solving the given equations 3x+2y=26 and 5x+y=26 by reduction method.

<h2>What is reduction method?</h2>

The reduction or elimination approach includes using arithmetic operations between equations to produce equivalent equations with fewer unknowns that are simpler to analyze and evaluate.

Given equations are

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Simplifying the given equation (2) and we get

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Now, substitute the equation (3) in equation (1) and we get

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Substitute the value of x in equation (3), we get

y=26-5\frac{26}{7} \\\Rightarrow y=26-\frac{110}{7}\\\Rightarrow y=\frac{162-110}{7}\\\Rightarrow y=\frac{52}{7}\\

Now adding the values of x and y, we get

\therefore e=\frac{26}{7}+\frac{52}{7}\\\Rightarrow e=-{[\frac{26+52}{7}]\\\Rightarrow e={[\frac{78}{7}]

Therefore, the value of e=\frac{78}{7}.

To learn more about reduction method from the below link:

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