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Which of the these represent a linear function?

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!

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.