Solving Systems of Equations Algebraically

Solving a System of Equations Algebraically

Let's look at this puzzle quickly...

Methods to solve:

• Graphing

• Substitution

• Elimination

• Calculator

Graphing

We have already done this.

Fill in the Blanks

When solving for systems of linear equations graphically we look for the point of

Substitution

• This is the method we will mostly use.

• We get one variable by itself and then we SUBSTITUTE it's value into another equation with matching variables.

• It is much easier to understand with a visual representation.

Fill in the Blanks

The point of intersection is written in (x,y) form. If x is 4, then the point of intersection for the last problem is (4,y). The value of y is

Elimination

• Elimination can be the easiest way to solve systems.

• The problem is that you must have the two equations in the exact same form.

• This takes a bit of time to get the hang of, but once you do it can be so very easy to solve.

• You still need to substitute at the end, so it doesn't save that step.

Calculators

• For multiple choice questions you can just type into the calculator.

• It will give you the answer, but obviously not the correct work.

• You can use this to check your work though!

• Let's look at an example with the calculator.

• https://youtu.be/ZxdiJmJ8eJw

Open Ended

Using the calculator solve the following system of equations and give them to me in (x,y) form. 2x+3y=15 and x-3y=18