How many solutions does x plus 2y equals 10 4y-20 equals 2x have?

Answer 1

To determine the number of solutions for the system of equations (x + 2y = 10) and (4y - 20 = 2x), we can rewrite the second equation as (2x - 4y + 20 = 0). Rearranging gives us (x = 2y + 10). Substituting this into the first equation leads to a consistent system, indicating that there is exactly one solution where the lines intersect. Thus, the system has one unique solution.