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maksim [4K]
4 years ago
11

Solve the system x - 2y = -6 3x + y = -4

Mathematics
1 answer:
stepan [7]4 years ago
5 0


{x-2y=-6

{3x+y=-4     /*2

{x-2y=-6

<u>{6x+2y=-8     </u> (+)

7x=-14    /:7

x=-2

3x+y=-4

3*(-2)+y=-4

-6+y=-4

y=2

Solution:  (-2; 2)

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7/32

Step-by-step explanation:

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<u>To find a fraction between 1/4 and 1/5:</u>

1. Make common denominators with both fractions. The larger the <u>common denominator</u>, the more you will find.

2. Choose any fraction between 1/4 and 1/5. That fraction will be in between 1/4 and 1/5.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

\dfrac{1}{4}\ \text{and }\dfrac{1}{5} \ \rightarrow \ \dfrac{1 \times 40}{4 \times 40}  \ \text{and} \ \dfrac{1 \times 32}{5 \times 32} \ \rightarrow \ \dfrac{40}{160} \ \text{and} \ \dfrac{32}{160}

Now, you may choose any fraction between 40/160 and 32/160.

My chosen fraction is 35/160, which when simplified, gives 7/32.

≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡

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