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yKpoI14uk [10]
3 years ago
10

)Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitutio

n. Show all the steps and write the solution in (x, y) form.
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0

Hi there,

Take y from first equation and use it / substitute it into the second equation:

-2x + 8 = x - 1, so 3x = 9, therefore x = 3.

Then y = x - 1 = 3 - 1 => y = 2.

Solution is (3,2).

A quick check: 2 = -2*3 + 8, true, and 3 = 2 - 1, also true.

Green eyes.

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Answer:

2 (4x - 1) + 6 = 8x + 4 = 4(2x+1)

Step-by-step explanation:

2 (4x - 1) + 6

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Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Step-by-step explanation:

Let,

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According to given statement;

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Multiyplying Eqn 1 by 4

4(5x+2y=102)\\20x+8y=408\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(20x+8y)-(3x+8y)=408-153\\20x+8y-3x-8y=255\\17x=255

Dividing both sides by 17

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Putting x=15 in Eqn 2

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Dividing both sides by 8

\frac{8y}{8}=\frac{108}{8}\\y=13.5

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10541435
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