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.