The correct answer for this question is this one: (-4, -11)
In order to solve this,
Let k1 = 7/10 = fraction of the first part
Let k2 = 3/10 = fraction of the second part
Then, use solve for x and y
x = (k1(x2) +k2(x1)) / (k1+k2)
y = (k1(y2) +k2(y1)) / (k1+k2)
x = (7/10 * 5 + 3/10 * -25) / (7/10 + 3/10 )
x = -8 / 2
x = -4
y = (7/10 * -25 + 3/10 * 10) / (7/10 + 3/10)
y = -14 + 3
y = -11
Hope this helps answer your question. Have a nice day!