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What is 6y + 8 -4x + y 6y + 6 7x - 6y 3x + y 4x + 3y 12y - 6?

A) 10y−2
B) 10y+2
C) 8y+2
D) 12y−2

1 Answer

7 votes

Final answer:

The correct linear equations from the options given are A) y = -3x and B) y = 0.2 +0.74x. Both fit the standard form of a linear equation and graph as straight lines. The correct answer is A) 10y−2.

Step-by-step explanation:

In order to determine which of the given equations are linear, we need to recall the definition of linear equations. A linear equation is any equation that can be written in the standard form Ax + By = C, where A, B, and C are constants, and x and y are variables. Linear equations graph as straight lines. With this in mind, let's evaluate each option provided in the question:

  1. y = -3x is clearly linear since it can be rewritten as 3x + y = 0.
  2. y = 0.2 + 0.74x is also linear as it fits the standard form 0.74x - y = -0.2.
  3. y = -9.4 - 2x is a linear equation because it can be expressed as 2x + y = 9.4.

Therefore, both options A (y = -3x) and B (y = 0.2 +0.74x) are linear equations. The correct answers to which equations are linear is option D, A and B.

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