To find the best approximate solution of the system of linear equations given by y = 15x + 1, we first need to understand that this equation represents a straight line on a Cartesian plane.
In this case, the equation describes a line with a slope of 15, which means for every unit increase in x, y increases by 15 units. The +1 at the end indicates that the line crosses the y-axis at y = 1.
If we were to consider another linear equation to form a system, we would need to find points of intersection or do some calculations based on constraints or additional information provided.
However, since the prompt does not provide another equation to form an actual linear system, we can conclude that if we are looking for a specific approximate solution, we can choose any value of x, compute y using the equation and find the corresponding (x, y) coordinate pair. For instance, if we take x = 0, then:
y = 15(0) + 1 = 1
So, one approximate solution could be (0, 1). Similarly, you can choose various other values of x to find many other approximate solutions. The accuracy or ‘best’ solution would depend on any particular criteria or constraints you need to consider in a real-world context.