Hello!
You can solve this algebraically
2x + 4y = 16
Subtract 4y from both sides
2x = 16 - 4y
Divide both sides by 2
x = 8 - 2y
You can put x into the original equation
2(8 - 2y) + 4y = 16
Distribute the 2
16 - 4y + 4y = 16
Combine like terms
16 = 16
This means that there are infinite solutions
Hope this helps!