heather writes the equations below to represent two lines drawn on the coordinate plane. -6x + 18y = 0 4x…

heather writes the equations below to represent two lines drawn on the coordinate plane. -6x + 18y = 0 4x - 12y = 20 after applying the linear combination method, heather arrived at the equation 0 = 60. what conclusion can be drawn about the system of equations? the equation has no solution; therefore, the system of equations has no solution. the equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60). the equation has infinite solutions; therefore, the system of equation as infinite solutions. the equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).

heather writes the equations below to represent two lines drawn on the coordinate plane. -6x + 18y = 0 4x - 12y = 20 after applying the linear combination method, heather arrived at the equation 0 = 60. what conclusion can be drawn about the system of equations? the equation has no solution; therefore, the system of equations has no solution. the equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60). the equation has infinite solutions; therefore, the system of equation as infinite solutions. the equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).

Answer

Explanation:

Step1: Analyze linear - combination result

The linear - combination method led to 0 = 60. This is a false statement.

Step2: Determine solution of system

In a system of linear equations, if after applying a valid method (like linear - combination) we get a false statement (a contradiction), the system has no solution.

Answer:

The equation has no solution; therefore, the system of equations has no solution.