Question

How do you find the solution of the system of equations `2x+2y=38` and `y=x+3`?

Answer 1

Solution is `x=8, y=11`

Divide the first equation by 2 to give `x+y=19`
Rewrite the second `y-x=3`
Add the two equations `2y=22` gives `y=11`
substitute in the second equation `11=x+3` gives `x=8`