At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
the first equation (x = y - 3) tells us that we can replace x with y - 3 whenever we see it, right? look at the second equation, replace x with (y-3) and solve for y then go back and solve for x using the first equation
i need more help
does this make sense? see how we replace "x" with (y-3)?
is that the final answer?
no, but do you understand so far?
ok, so we have 2(y-3) + y = 12, so what do you get when you distribute the 2?
where do u distribute it to
this is a new concept
2(y-3) = 2*y-6
excellent, so far we have 2y - 6 + y = 12, so combine like terms to find y
getting there, now add 6 to both sides and divide by 3 to find y
great, so we know that y = 6, but we're still not done yet because we need to find x from the first equation, we know that x = y - 3, and since y = 6, what is x?
good! x = 3 and y = 6 generally, the solution to a system of equations is written as (x,y), so since x = 3 and y = 6, our solution is (3,6) that's our final answer