Solving Linear Equations

Elimination, Substitution, and Graphing

Solving with Elimination

1. Find like terms

2. If needed change the sign so that they are opposite signs (2 and -2)

3. Then eliminate the like terms

4. Add the other variables, also add the numbers on the right of the equal sign (4y and 24)

5. Finally once you have somethings like 4y=24, you will have to divide (24/4=6)

Solving with Substitution

1. Solve for one variable

2. Put one problem in the space of a variable (put 3+2 in for the x)

3. The problem should now have both problems in one (6+3+2=?)

4. Once you solve for a variable add it into the original problem

5. The number that wasn't the solved variable is your x and the final answer is your y

Solving with Graphing

1. Solve the linear equation for y

2. To find the answer graph both equations and find where they intersect

3. Plug your x and y into the problem to make sure that it is correct

Solving Real World Problems with Linear Equations: An Application (Algebra I)

Most Frequently Asked Questions

Q: Which way of solving should I learn first?

A: At my school we learned graphing first. Then substitution and finally elimination. Each lesson kind of includes and refers to the other 2 lessons. I think in that order helped me.


Q: Do I have to have a graphing calculator for the graphing problems?

A: No you don't have to have one. The problems may go quicker, but it also works by just doing it on pen and paper.


Q: Which way of solving is easiest?

A: Different people think differently about which way of solving is easiest. I think that elimination is the quickest and easiest.