Mastering the substitution method in Algebra I can make solving systems of linear equations much easier. Here are some helpful tips:

Step-by-Step Breakdown

1. Isolate a Variable: Start by rearranging one of the equations to solve for one variable in terms of the other. For example, if you have: $y = 2x + 3$ Here, $y$ is by itself, which makes the next steps easier.

2. Substitute Carefully: Once you have one variable by itself, put that expression into the other equation. If you were working with: $3x + y = 12$ You would replace $y$ with $2x + 3$. This gives you: $3x + (2x + 3) = 12$

3. Combine Like Terms: This step helps to simplify your equation. In our example, combine the $x$ terms, which leads to: $5x + 3 = 12$

Solve for One Variable

• After combining like terms, now we need to solve for $x$.
• This usually involves some simple math, so take your time. For this example: $5x = 9$ $x = \frac{9}{5}$

Plug Back In

• Once you find one variable, put it back into one of your original equations to find the other variable.

Check Your Work

• It's really important to plug both values back into the original equations to make sure they work. A quick check can save you from making mistakes!

Practice, Practice, Practice

• Finally, try different types of problems. The more you see different equations, the more comfortable you’ll get with the substitution method.

Using these tips, you’ll find that substitution becomes much easier and even fun! Happy solving!