We can use the substitution method to solve this problem.
The second equation is [tex]\sf y=2x[/tex], so we can plug in 2x for 'y' in the first equation:
[tex]\sf 5x-2y=3[/tex]
[tex]\sf 5x-2(2x)=3[/tex]
Multiply:
[tex]\sf 5x-4x=3[/tex]
Combine like terms:
[tex]\sf x=3[/tex]
This is the x-value of our solution, we can plug this into any of the two equations to find the y-value:
[tex]\sf y=2x[/tex]
[tex]\sf y=2(3)[/tex]
Multiply:
[tex]\sf y=6[/tex]
This is the y-value of our solution. So our entire solution is (3, 6).