This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
3x+0$.
Here are the solutions to the problems.
1. Which of the following linear equation passing through the origin? A linear equation passes through the origin if substituting and into the equation results in a true statement. This means the y-intercept ( in ) must be .
Step 1: Check option a) . Substitute : This statement is true, so the equation (or ) passes through the origin.
Step 2:
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Check option a) y=3x+0. Substitute x=0, y=0: 0 = 3(0)+0 0 = 0 This statement is true, so the equation y=3x+0 (or y=3x) passes through the origin.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.