Substitution or Elimination method

Question

Consider the system of equations 4x + y = –2 and 4x + 5y = –6. Would you use the substitution method or the elimination method to solve this system algebraically? Why? Thanks in advance.

Answer 1

multiplying the first equation by $-1$ we get $$-4x-y=-2$$ $$4x+5y=-6$$ adding both equations we obtain $$4y=-4$$ and from here you will get $y$ and then $x$