Question

Consider this system of linear equations: y=4/5x-3 y=4/5×+1 a. Without graphing, determine how many solutions you would expect this system of equations to have. Explain your reasoning. Hint: answer should be 0, 1, or no solutions

Answer 1

The solution of a system of linear equations is the point where the two lines meet. Note that for the given equations, both lines have the same slope (4/5). If two lines have the same slope, it means that those lines are parallel. Parallel lines do not meet at any point, they stay parallel to the infinite.

Therefore, since this two lines are parallel, they don't meet and the system has no solution.