Write whether the following statements are True or False ? Justify your answers.
1. \(ax + by + c = 0\), where \(a, b\) and \(c\) are real numbers, is a linear equation in two variables.
2. A linear equation \(3x + 3y = 1.67\) has unique solution.
3. All the points \((1, 0), (3, 0), (3, 0)\) and \((1, 0)\) lie on the x-axis.
4. The line parallel to the y-axis at a distance \(3\) units to the left of y-axis is given by the equation \(x = –3 \).
5. The graph of the equation \(y = mx + c\) passes through the origin.
Answer variants:
True
False