I think that the answer would be (-7/150,-7/15)
Explanation:
-10x + y = 0
+10x +10x
y = 10x
Put the 10x into 5x3y =-7
5x3(10x) =-7
5x•30x = -7
150x = -7
150x/150 = -7/150
x = -7/150
Put the x value into the first equation to find the y value
-10x + y = 0
-10(-7/150) + y = 0
7/15 + y = 0
-7/15 -7/15
y = -7/15
This gives us (-7/150, -7/15)
*I might be wrong