Question

Here is a system of linear equations: y = 3x + 4 y = 3x - 7 How many solutions, if any, does this system have?

Answer 1

Answer:

Step-by-step explanation:

y = 3*x  + 4

y = 3*x -   7

Each one of the above equations is the equation for a straight line.

The solution for such a system is the point P ( x₀ , y₀ ) which coordinates belong to both straight lines. According to this, there is only one solution for that system ( only one point of intersection). The intersection of a pair of straight lines either can occur or not depending on the slope of the lines, if they have the same slope they are parallel, then they did not touch each other ever. How can m,  be identified in the straight line equation??,   just by looking at the coefficient of x.  

The two equations have slope 3 they are parallel then there is not a solution ( there is not a common point to both equations)