You have the following system of equations:
2x - y = 0
3x + y = 10
in order to solve the previous system of equations, first, sum the equations to eliminate y variable, and then solve for x, as follow:
2x - y = 0
3x + y = 10
5x = 10
5x = 10 divide by 5 both sides
x = 10/5
x = 2
next, replace the previous value of x into the first equation and solve for y:
2x - y = 0
2(2) - y = 0
4 - y = 0
4 = y
y = 4
Hence, the solution to the given system of equation is x=2 and y=4