5.3 Solve Systems by Elimination

Last updated almost 2 years ago

15 questions

Do Now

Today's Lesson: Solve Systems by Elimination

Review of Systems (Graphing & Substitution)

5.3 Solve Systems by Elimination

Last updated almost 2 years ago

15 questions

Do Now

Linear Systems Quiz! 

Period 1: January 11 
Period 5: January 10

What club or sport are you currently doing?

Which of the these represent a linear function?

Today's Lesson: Solve Systems by Elimination

To solve a system of equations by elimination, we start with both equations in standard form. Then we decide which variable will be easiest to eliminate. How do we decide? We want to have the coefficients of one variable be opposites, so that we can add the equations together and eliminate that variable.

Solve the system by elimination:

Let’s try another one:

This time we don’t see a variable that can be immediately eliminated if we add the equations.

For the next few problems, you will be able to make the coefficients of one variable opposites by multiplying one equation by a constant.

Challenge!
Now we’ll do an example where we need to multiply both equations by constants in order to make the coefficients of one variable opposites.

Challenge!

Review of Systems (Graphing & Substitution)

Solve the system by graphing.
Write your answer as an ordered pair, (x,y), no solution, or infinite solutions.

Graph the system of equations on the "Show your work" board.
Then type the solution in the answer box.

Solve the system by SUBSTITUTION.

Tonight's HW
Khan Academy: Systems of equations with elimination
show all work in your Algebra I notebook

5.3 Solve Systems by Elimination

5.3 Solve Systems by Elimination

What club or sport are you currently doing?

Which of the these represent a linear function?

Let’s try another one:This time we don’t see a variable that can be immediately eliminated if we add the equations.

For the next few problems, you will be able to make the coefficients of one variable opposites by multiplying one equation by a constant.

Challenge!Now we’ll do an example where we need to multiply both equations by constants in order to make the coefficients of one variable opposites.

Challenge!

Solve the system by graphing. Write your answer as an ordered pair, (x,y), no solution, or infinite solutions.

Graph the system of equations on the "Show your work" board. Then type the solution in the answer box.

Solve the system by SUBSTITUTION.

Tonight's HW

Khan Academy: Systems of equations with elimination

show all work in your Algebra I notebook

What club or sport are you currently doing?

Which of the these represent a linear function?

Let’s try another one:This time we don’t see a variable that can be immediately eliminated if we add the equations.

For the next few problems, you will be able to make the coefficients of one variable opposites by multiplying one equation by a constant.

Challenge!Now we’ll do an example where we need to multiply both equations by constants in order to make the coefficients of one variable opposites.

Challenge!

Solve the system by graphing. Write your answer as an ordered pair, (x,y), no solution, or infinite solutions.

Graph the system of equations on the "Show your work" board. Then type the solution in the answer box.

Solve the system by SUBSTITUTION.

Tonight's HW

Khan Academy: Systems of equations with elimination

show all work in your Algebra I notebook

Let’s try another one:

This time we don’t see a variable that can be immediately eliminated if we add the equations.

Challenge!
Now we’ll do an example where we need to multiply both equations by constants in order to make the coefficients of one variable opposites.

Solve the system by graphing.
Write your answer as an ordered pair, (x,y), no solution, or infinite solutions.

Graph the system of equations on the "Show your work" board.
Then type the solution in the answer box.

Let’s try another one:

This time we don’t see a variable that can be immediately eliminated if we add the equations.

Challenge!
Now we’ll do an example where we need to multiply both equations by constants in order to make the coefficients of one variable opposites.

Solve the system by graphing.
Write your answer as an ordered pair, (x,y), no solution, or infinite solutions.

Graph the system of equations on the "Show your work" board.
Then type the solution in the answer box.