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?

a) the equation has no solution; therefore, the system of equations has no solution.
b) the equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60).
c) the equation has infinite solutions; therefore, the system of equation as infinite solutions.
d) the equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).

The answer is A on E2020

Step-by-step explanation:

up

step-by-step explanation:

the orientation of the parabolas can easily be found by analysing the power of x and y and their signs. if x is squared , parabola opens up and also if its coefficient is negative it opens down. if y is squared , the parabola opens right and also if its coefficient is negative it opens left. however in order to do the above analysis our equation must be in standard form .

our parabola is

which is not standard form of any parabola . hence we square on both hand side and convert it into standard form.

hence we see that x is squared and its coefficient is non negative . there for it opens up.