In a rectangular coordinate system, the line $5y = 2x$ intersects the line $3x - 4y = 7$ at point $Z$. What is the sum of the coordinates of point $Z$?
Since the lines intersect, we can set solve for x and y using systems of equations.
3x=4y+7
y=2/5x
3x=8/5x+7
7/5x=7
x=5
y=2
Thus, (5,2)=5+2=7.
