Given X + 3Y = 19 and 2X - Y = 10, find X and Y

This is a simple simultaneous equationFirst we multiply the second equation by 3 to get 6X - 3Y = 30Then we add the first and second equation together to get 6X + X +3Y - 3Y = 30 + 19which we simply to 7X = 49 which therefore means X = 7which now means we can work out Y given X = 7 then 2X - Y = 10 -----> 14 - Y = 10 giving us that Y = 4