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Mashcka [7]
3 years ago
9

PRACTICE

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0

Answer:

k = 20

Step-by-step explanation:

Expressing 18, 36 and 54 as a product of their prime factors

18 = 2 × 3 × 3 = 2 × 3²

36 = 2 × 2 × 3 × 3 = 2² × 3²

54 = 2 × 3 × 3 × 3 = 2 × 3³

The common prime factors are 2 and 3²

HCF = 2 × 3² = 2 × 9 = 18

Thus

k - 2 = 18 ( add 2 to both sides )

k = 20

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Answer:

* Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.

* Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I.

Step-by-step explanation:

Equation I: 4x − 5y = 4

Equation II: 2x + 3y = 2

These equation can only be solved by Elimination method

Where to Eliminate x :

We Multiply Equation I by a coefficient of x in Equation II and Equation II by the coefficient of x in Equation I

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Equation II: 2x + 3y = 2 × 4

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* Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.

* Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I.

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