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Which of the following are linear equations in two variables?

A) 22 + 3t = 15
B) 3x + 5y = 10
C) 32 + 5 = 22 + 1
D) 6x + 2 = 4y + 5

User Leejmurphy
by
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1 Answer

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Final answer:

The linear equations in two variables from the list are B) 3x + 5y = 10 and D) 6x + 2 = 4y + 5, as they can be expressed in the standard linear form y = mx + b.

Step-by-step explanation:

Identification of Linear Equations

Linear equations in two variables are of the form y = a + bx, where 'a' represents the y-intercept and 'b' denotes the slope of the line. The variables represent that x is the independent variable and y is the dependent variable.

Examining the equations listed, we can determine which are linear:

  • B) 3x + 5y = 10 is a linear equation since it can be rearranged to the standard form y = mx + b.
  • D) 6x + 2 = 4y + 5 is also a linear equation, after rearranging you get y = (3/2)x - 1/2.

Equation A) 22 + 3t = 15 and Equation C) 32 + 5 = 22 + 1 are not in two variables nor are they in the linear form y = mx + b.

User Abhisek
by
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