How many solutions does the system have? 4x-10y=-20 6x-15y=-30

Answer 1

4x-10y=-20

divide both sides by 2

then it's the same as 2x-5y =-10

6x-15y=-30

divide both sides by 3

then it's the same as 2x-5y =-10

they are both the same equation graphically

the same coexisting lines, one smack dab on top of the other

with an infinite number of shared points

infinite number of solutions to the 2 equations

(x, y)= (2.5y-5, y) = (x, 2+.4x)

fill in any x or y to find one of the infinite number of solutions

such as (-5,0) or (0,2) the two intercepts of the upward sloping straight line(s).