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Which system is the only inconsistent system?

a) y = x - 3
b) y = 3x - 1
c) y =メー3
d) y = 3x - 6

User Julumme
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Final answer:

Options A, B, and C in the practice test question are all linear equations as they fit the standard form of a linear equation y = mx + b. Hence, the correct answer is D. A and B, which indicates that A and B are both linear equations.

Step-by-step explanation:

Understanding Linear Equations

A linear equation represents a straight line when plotted on a graph and can be written in the form y = mx + b, where m is the slope and b is the y-intercept. To address the question, let's analyze each given equation:

  • A. y = -3x fits the form y = mx + b with a slope of -3 and y-intercept of 0, making it a linear equation.
  • B. y = 0.2 +0.74x can be rearranged to y = 0.74x + 0.2, again fitting the form y = mx + b with a slope of 0.74 and y-intercept of 0.2, confirming it as a linear equation as well.
  • C. y = -9.4 - 2x similarly can be written as y = -2x - 9.4, satisfying the standard form y = mx + b with a slope of -2 and y-intercept of -9.4. This is also a linear equation.

Therefore, based on the standard linear equation form, options A, B, and C are all linear equations. Given this, the answer to the practice test query is D. A and B, as both A and B are linear equations and C is just presented differently but still represents a linear equation.

User Shanina
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