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).

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

Step-by-step explanation:

we have

-----> equation A

-----> equation B

we know that

If after applying the linear combination method, Heather arrived at the equation 0 = 60

then

The reason is because both lines are parallel, therefore the system of equations has no solutions

Verify

isolate the variable y in the equation A

--------> the slope is 1/3

isolate the variable y in the equation B

--------> the slope is 1/3

Remember that

If the slopes are equal the lines are parallel

so

The system of equations has no solutions

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed