Determine the number of solutions to this system of linear equations (0,1,♾️)
Y = 7x + 8
-7x + y = -8
This system of linear equations has _____ solutions
In this case, the system of linear equations has infinitely many solutions because the two equations represent the same line. The first equation is in the form y = mx + b where m is the slope (7) and b is the y-intercept (8). The second equation can be rewritten as y = 7x - 8, which is the same equation as the first one.
Therefore, there are an infinite number of solutions to this system of linear equations.