What is a system of equations?
What does it mean to find the solution to a system of equations?

What ways have we learned to do that so far?

I can solve a system of equations by substitution.

when we use the vertical line method, what are we trying to do?

Which equations below can we solve using the vertical line method?

x + y = 5 x - 3 = 10

3x = 4y - 2 4y + 6 = 12

y = 5x + 1 3g + 4S = 20

linear equations have two variables (x and y) because they represent lines on the x-y coordinate plane. in order to solve these equations using algebra, we need them to have just one variable.

We can use substitution to make that happen!

Let's do some examples!

Find the solution to the system of equations.

y = 8 y = 6x x = -3y

y = x + 1 y = 5x + 4 y = 2x - 21

x = 5 y + 4 = 3x y = x - 1

y = 2x - 3 2y - 6x = -8 2x − 3y = −1

Let's start our work together. You can work on your own when you are ready!

Complete these problems (front for a 3, back for a 4)

More challenging work