How Does Substitution Method Work?

The substitution method is like swapping one toy for another to make a puzzle easier to solve.

Imagine you have two boxes: one has red marbles and blue marbles, and the other has just red marbles. If you know how many marbles are in each box, you can figure out how many red and blue marbles there are total, but it might be tricky at first.

Now, let's say you find out that the number of blue marbles is exactly the same as the number of red marbles in one box. Instead of thinking about both colors separately, you can just think of them as being the same thing, like swapping one toy for another.

That’s what substitution means: you take a known value and plug it into another equation to simplify things.

Think of equations as clues in a game. If you know that x = 3, you can use that clue wherever x appears, like turning one puzzle piece into something you already know.

So, if the first clue is “x + y = 7” and you learn that x = 3, you just swap x with 3 in the second clue. Now it becomes “3 + y = 7,” which makes finding y much easier, like solving a puzzle piece by piece!