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11Alexandr11 [23.1K]
3 years ago
12

What is the best category for the system of equations shown:

Mathematics
1 answer:
Taya2010 [7]3 years ago
3 0

Answer:

Option (1)

Step-by-step explanation:

System of equations has been given as

2x + 6y = 14

By dividing this equation by 2

x + 3y = 7 --------(1)

Second equation is,

-2x + 2y = -10

-x + y = -5 -------(2)

By adding equation (1) and equation (2)

(x + 3y) + (-x + y) = 7 - 5

2x = 2

x = 1

By putting x = 1 in the equation (1)

1 + 3y = 7

3y = 6

y = 2

So, we get exactly one solution pair (1, 2) where these lines are intersecting.

Therefore, the best category that defines the system of equations is Consistent/Independent

Option (1) will be the answer.

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Start by multiplying everything within the parentheses by -6.

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